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Paper Citation Record · LEDGER

Observability inequality, log-type Hausdorff content and heat equations

As of 13 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 2 inbound Pith citation observations for arXiv:2411.11573.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.11573 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:37:57.469315Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:30:28.051493Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T16:30:28.308246Z

Reference resolution

50 of 50 outbound references displayed

  • verified exact3
  • verified fuzzy28
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2ba71c2f-f189-434d-9708-d5cf794fad4f · outbound

This paper cites Apraiz and L.

Observability inequality, log-type Hausdorff content and heat equations Apraiz and L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.160315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.264056Z digest=sha256:e64bee4616f8f409b7ada3ad693a64c9673419faf82de8cb56b906e97b54cecf

Observation 3c42a7f5-7d56-48d4-9aaf-6c8fbeaf9ac4 · outbound

This paper cites Apraiz, L.

Observability inequality, log-type Hausdorff content and heat equations Apraiz, L

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.148197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.268958Z digest=sha256:da062306144e9d65e76b4a21675252ee7b582c3d23df3efb8d8d4aa567bd5507

Observation ac0301b1-191c-48c7-97e6-ce3d18e1ce8d · outbound

This paper cites Quantitative propagation of smallness and spectral estimates for the Schr\"odinger operator.

Observability inequality, log-type Hausdorff content and heat equations Quantitative propagation of smallness and spectral estimates for the Schr\"odinger operator

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-12T18:37:57.567538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.273192Z digest=sha256:c5d6ca69b1d15b80d5d2c94649122a21aa03ac843920c01eade26911b2f0ed3f

Observation b02d80bf-3418-4990-8a24-04081e3b7c0f · outbound

This paper cites Beauchard, P.

Observability inequality, log-type Hausdorff content and heat equations Beauchard, P

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.136162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.278116Z digest=sha256:1ea4c9e44011b92ca969a98029e883b23ceece7f84f77e63336b8c601f7bbe9e

Observation f095b3e0-2cc8-4741-ae19-bf59ac90c6dc · outbound

This paper cites Burq and I.

Observability inequality, log-type Hausdorff content and heat equations Burq and I

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.123220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.282307Z digest=sha256:75c11868972215b4d898fc5c5d03562b999113028c638cf3912c9aafd1721427

Observation 3a7bdf6d-fb78-4df5-967a-c2c02b4beed3 · outbound

This paper cites Carleson.

Observability inequality, log-type Hausdorff content and heat equations Carleson

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.110944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.286585Z digest=sha256:ee69b4fb133d7ed3e333515190a7d8f20b66fc34c74948a888ce0490fa260001

Observation 0804b63b-3db1-4bf5-851e-20fc6acf099f · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:58.097865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.290927Z digest=sha256:76e6adc70d1c410e2c4106da8e8fc510a1aaf7c498a3e032b6895a6848055505

Observation c4bfc987-227d-4c95-93ad-947674fc7225 · outbound

This paper cites On the generalized Hausdorff dimension of Besicovitch sets.

Observability inequality, log-type Hausdorff content and heat equations On the generalized Hausdorff dimension of Besicovitch sets

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-12T18:37:57.295826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:37:57.295826Z digest=sha256:1ef7e06a09fcee99302dec6bfe2c8bab064ede392ac276c2f0a8053201d00039

Observation d0b855c3-22dd-4d6b-aa65-9e006f3e6d74 · outbound

This paper cites Ciesielski and S.

Observability inequality, log-type Hausdorff content and heat equations Ciesielski and S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.085212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.300266Z digest=sha256:80ec8e39a1c1ceff535ea4845e57dc5ea2e9c949ef1d978228c6d3555060ca6c

Observation 310853d6-d353-4123-9b74-6b85ae113fe7 · outbound

This paper cites Dasgupta.

Observability inequality, log-type Hausdorff content and heat equations Dasgupta

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.072754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.304753Z digest=sha256:7459f4ca3c0d255796cdb69eac5f17eb37adb7a0d73dc112bf87f1641a1708f9

Observation 7d3f6fad-7bdc-44ab-a159-5d40fdd0e9a1 · outbound

This paper cites Dicke, A.

Observability inequality, log-type Hausdorff content and heat equations Dicke, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.059797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.308699Z digest=sha256:3ff196221259a6fb9f578a40168387e5ac65f4cdef01dc4f14c09e2113e9ff49

Observation 249f8c48-fab2-4c0b-9d60-192012f501a2 · outbound

This paper cites Dicke, A.

Observability inequality, log-type Hausdorff content and heat equations Dicke, A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.046912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.312857Z digest=sha256:7c67c0a969b4d7adc7a1f6007908b71a8c7c0200e4e8e897faa731a4b1f7e5bc

Observation d0cabb5b-04b2-460e-becc-fca918435154 · outbound

This paper cites Observability for the one-dimensional heat equ ation.

Observability inequality, log-type Hausdorff content and heat equations Observability for the one-dimensional heat equ ation

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.034504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.316684Z digest=sha256:7ecb01f0f3862a2584db89a411b8cc8ea8a761efbff4f77343ff8e12e5cf2db8

Observation c0119633-9252-4bfb-aa41-ff974914658a · outbound

This paper cites Duyckaerts and L.

Observability inequality, log-type Hausdorff content and heat equations Duyckaerts and L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.021158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.320727Z digest=sha256:6b23772086c29fdda2e83e0fc3e5241aa784a0023ffe3717678ccc261a223c89

Observation 6b19bd12-5df6-4664-9f4f-ed3cbbc6bde0 · outbound

This paper cites Egidi and I.

Observability inequality, log-type Hausdorff content and heat equations Egidi and I

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:58.007699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.324668Z digest=sha256:54df62c75cc68cde7f7ded9a0390624a4141100e94beee9770b01a7c950af4a1

Observation 74d1c27e-d2c1-4e66-a5a9-95656918de70 · outbound

This paper cites Falconer.

Observability inequality, log-type Hausdorff content and heat equations Falconer

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.994511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.328575Z digest=sha256:2ce4287018d4270317665b284ea8e7a856c346c2de44518d47b20be644d811fc

Observation e4c900ae-c9df-4ed3-8b27-dfc8869a0056 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.981794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.332405Z digest=sha256:fe6b3d173cc890d3b1b2f22b79cf9bd5d340e173f6adaa99082624b5b6e7a781

Observation 85935d17-dd81-4457-bc64-4b480b26181e · outbound

This paper cites Friedland and Y.

Observability inequality, log-type Hausdorff content and heat equations Friedland and Y

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.969279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.336457Z digest=sha256:fe2a6f838887e8e19de7c405c51e70ffc5df4f9ed0e319ce259b42522a2fb752

Observation 548fee71-4e1a-4af9-8e28-dfd20abe8048 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.957019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.340545Z digest=sha256:e255bcd63bd0ede67bc95d530d0741001853bf10bcb4fb3788dc566d54ffa7a8

Observation 7ef91ee1-c469-47ba-970b-205e120f9ab7 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.944716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.344783Z digest=sha256:02d0c45e0055019e44fcd6f000c6ce82dbf5776b694087872668da56c2f65761

Observation 6b9532a8-578e-4160-9222-25ed0687ec43 · outbound

This paper cites Gilbarg and N.

Observability inequality, log-type Hausdorff content and heat equations Gilbarg and N

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.932920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.348890Z digest=sha256:b92c97b4135a5b7d5fe7bbbf9dd3dd0dd2418df7beebccf5303c7b7d0c6a15e0

Observation 4801f089-65de-443c-9a54-0535d398c254 · outbound

This paper cites Walton Green, K´ evin Le Balc’h, J´ er´ emy Martin, and Marcu-Antone Orsoni.

Observability inequality, log-type Hausdorff content and heat equations Walton Green, K´ evin Le Balc’h, J´ er´ emy Martin, and Marcu-Antone Orsoni

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.921037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.352934Z digest=sha256:6f53a81886b0e12b0cd83c4d812f3089491c67591a7f43b37bdf39e6ab849dab

Observation 23d7343f-6732-43bd-9ee7-60c5df1b861c · outbound

This paper cites Han and F.H.

Observability inequality, log-type Hausdorff content and heat equations Han and F.H

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.908450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.356860Z digest=sha256:cf8b03873a4c62950b048034272c42c8d545dafdc70e0fda89ef7b903b79e8bb

Observation 8bbdd4a7-0fd5-49e3-9029-7a304bef3c7f · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.895268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.360880Z digest=sha256:e88e676060ab89ea9eb38df159b591585edb91a8112912fd75e490126324aa60

Observation e03c0811-66ed-4574-b399-dd850b0e36b8 · outbound

This paper cites Kametani.

Observability inequality, log-type Hausdorff content and heat equations Kametani

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.881623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.365632Z digest=sha256:a5e574a080688c76fe09e6aee03f364095a6aa18f3ca6ae679285bc5b0ad0f95

Observation 9f47442c-8e48-483f-bf39-6a168c40c5f1 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.868812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.369680Z digest=sha256:c4d4aa75d6c3f928905939b02fc285c0c5294178e5b1557322e1ec3b6a71163d

Observation a2427ae0-1326-4f2e-86f5-e51100d4767a · outbound

This paper cites Kovrijkine.

Observability inequality, log-type Hausdorff content and heat equations Kovrijkine

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.855936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.373448Z digest=sha256:19027700340f98272394f866882d9e580649c891d18262e8de617dda08fa88bb

Observation 7cf44c10-e678-42e9-8234-a124d5737eec · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.843068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.377414Z digest=sha256:bc69f9f979c37d8bd860aa40aabaccf297aa2a8096969369622a1fdae7096fc0

Observation cd39d17b-8f15-47f2-96cb-151e06f2d966 · outbound

This paper cites Le Rousseau and G.

Observability inequality, log-type Hausdorff content and heat equations Le Rousseau and G

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.830431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.381563Z digest=sha256:5f8aab30565a16a2b50fefc5f2199d40e578d58e312c6f2d1e0c32a4d40ad8c1

Observation 6a09bb4a-8ea4-4d63-8439-29bc0ef3f740 · outbound

This paper cites Le Rousseau and I.

Observability inequality, log-type Hausdorff content and heat equations Le Rousseau and I

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.818211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.385392Z digest=sha256:cb0c50159453663b50b6775faba01d1d46672fbb63e0657e0ddcfaecc1285913

Observation 8224d5a4-a419-45a9-8990-dfd05c26d6d1 · outbound

This paper cites Lebeau and L.

Observability inequality, log-type Hausdorff content and heat equations Lebeau and L

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.805758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.389229Z digest=sha256:0574a4d2d99a950e6d06c50bdb9ddbac7e70a6e616f31187884844922ef34f18

Observation 3783514f-04a0-4f13-a90b-595a09aa8369 · outbound

This paper cites Lin and X.

Observability inequality, log-type Hausdorff content and heat equations Lin and X

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.792409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.393668Z digest=sha256:3c2554ca96742998b6395d7cd57031181e438c094674cf2cc13efef3d23b1002

Observation 20b827c9-8948-44fc-924c-f7a02ed9dd21 · outbound

This paper cites Logunov and E.

Observability inequality, log-type Hausdorff content and heat equations Logunov and E

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.780058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.397672Z digest=sha256:b4a54b1fed1cc5718045fd65f5fc5f1eb43bea293a7d8da99f82e4141d03f79d

Observation 0bb6d2a5-90c4-4be0-8710-56d84af29cd7 · outbound

This paper cites Logunov, E.

Observability inequality, log-type Hausdorff content and heat equations Logunov, E

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.767424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.401661Z digest=sha256:66e042f8dbdfdc188f511f3950c392c49c4ab7a5fc7fe1b56c9f1a9f3d21250a

Observation a82c07d8-848b-4028-b936-78927c1ac288 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.754568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.405923Z digest=sha256:7be41e48051fc80a8215f12efc11a34600d87a56df3bd1cee3f43e987864e5b7

Observation a502793c-12fb-4052-b1d8-2ded3951bff2 · outbound

This paper cites Malinnikova.

Observability inequality, log-type Hausdorff content and heat equations Malinnikova

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.741621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.410474Z digest=sha256:867d4c86c7cd4b223975f04817c6397691c5673be6364516013be935ca458689

Observation 04b246a0-f305-407a-a8c2-d9e94f9b54d6 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.728903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.414906Z digest=sha256:869123778ce3b07a80e556c682dff0c244544a1d3c3df46d50d11ee920fb8493

Observation a3977e50-4189-4f58-8ad0-3856bb407849 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.703507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.423340Z digest=sha256:73733c28958df4b1a3a714203a04b003e83fa98128d36a53180603c69ede2395

Observation 7aab082a-48d6-48e6-beee-e03b9ac1a4ce · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.690211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.427342Z digest=sha256:9f368e4e342fc1bb1a66f57ce7f8bffbc3fc3805caab7a05b1ebbb6d5362f75f

Observation 9d08ab4c-bb3b-4e96-93fa-e4ac5b5e24e2 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.677802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.431593Z digest=sha256:78221a6e3d8d2c4e642c892300d5fef109ca5e643c3c74e17ac4e40b59a7c20d

Observation eed7ac4c-9cd5-4d10-9963-382a8a116628 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.664195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.435747Z digest=sha256:c0935bb97acddfa167621dddc4ae3d6b6c28de08d4022b30b75fee1f74af9804

Observation 40998f80-4c35-4d96-91e1-2d1881331d03 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.650296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.439915Z digest=sha256:9dab1753f5179a5703bdc7c3202fd8c903fa827d3791e9ef9774973680eb0381

Observation a84553e9-469f-40b5-bbb9-c55e4aeb2723 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.636540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.444420Z digest=sha256:f8c55429aa914f178888b45e24a762e40f66cb42908ae1d639279aa04b34970e

Observation b37b5349-78c7-47b4-8d4b-add2d2bb8f12 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.623634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.448692Z digest=sha256:2598e861cd08b316d19aff9967a4592fe0ec8cd7687a254061c33e569a32fa01

Observation a003d65b-0188-431b-b1d9-433e42d27d4b · outbound

This paper cites Internal null-controllability of the N -dimensional heat equation in cylindrical do- mains.

Observability inequality, log-type Hausdorff content and heat equations Internal null-controllability of the N -dimensional heat equation in cylindrical do- mains

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.610298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.452873Z digest=sha256:dd68295eb4bcf419d9943abcbeaa1f35ed673e60e02e952e99f882eee5f065b8

Observation 9089c086-4749-44a0-99f4-579b78e36248 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.595852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.457014Z digest=sha256:519d922fefd3bbdc238df91eaec1bb2fa375d048b560dc513e2a6f2c268a4648

Observation a28d944c-9b17-4f38-a55f-632cc5eaecc6 · outbound

This paper cites an unresolved cited work.

Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:37:57.581846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.461002Z digest=sha256:61967fe4acdea14f2287160b75c993ad1f9a57c6798ba1c98a060202869567c7

Observation 63b887e3-4fa0-4d7c-a3d3-20a5757d96bc · outbound

This paper cites Quantitative 2D propagation of smallness and control for 1D heat equations with power growth potentials.

Observability inequality, log-type Hausdorff content and heat equations Quantitative 2D propagation of smallness and control for 1D heat equations with power growth potentials

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-12T18:37:57.533357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.464954Z digest=sha256:2a7be2d8e53c01a1e434f031bd83faee1f6b4df5e49a1c63281a9214210f3eba

Observation d9f07c2f-8991-4f25-9ee2-6b6ecffeed81 · outbound

This paper cites Spectral inequality for Schr\"odinger equations with power growth potentials.

Observability inequality, log-type Hausdorff content and heat equations Spectral inequality for Schr\"odinger equations with power growth potentials

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-12T18:37:57.512573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.469315Z digest=sha256:02e3b27cab7dd041feb9198d906cd2137e2cc14dc062e056f33e338957c87f46

Observation 1cbb8f0e-6983-431f-b444-d36025d10442 · outbound

This paper cites HUANG, G.

Observability inequality, log-type Hausdorff content and heat equations HUANG, G

Reference 1981

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:37:57.716005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:37:57.418873Z digest=sha256:9b16d6a502ec019cb7af4ed345169c2b98059305e17a7b6586161edcffc5c8ac

Pith citing papers

Observation 09af30a6-2183-4aa7-a6d4-a317444781b5 · inbound

The periodic KdV with control on space-time measurable sets cites this paper.

The periodic KdV with control on space-time measurable sets Observability inequality, log-type Hausdorff content and heat equations

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:30:28.312982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:30:28.051493Z digest=sha256:5088c08b968852926677b9bd450c66de3e9b6f53bc24e437b7ae03728fe94dfd

Observation 71720ce3-2266-450b-bfdf-86b25eb77718 · inbound

Fractal Tur\'{a}n-Nazarov Inequality and Observability for Schr\"{o}dinger Equations cites this paper.

Fractal Tur\'{a}n-Nazarov Inequality and Observability for Schr\"{o}dinger Equations Observability inequality, log-type Hausdorff content and heat equations

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T18:01:10.989266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:01:10.989266Z digest=sha256:e656b7992f15bca0beac9bcba79a395af98881e2da2000de65d1ddd7498b4d70