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Paper Citation Record · LEDGER

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus

As of 7 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2607.24076.

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

pith.paper-citation-record.v1
2607.24076 v1

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measured 52 of 52 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-31T23:20:26.033082Z

measured 52 of 52 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

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Reference resolution

52 of 52 outbound references displayed

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Outbound references

Observation d9159667-e49c-4647-a168-53c32b724761 · outbound

This paper cites Anantharaman and F.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Anantharaman and F

Reference 1

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Observation 9d72cd34-e4fc-4908-9a6a-7c20995dcd75 · outbound

This paper cites Apraiz, L.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Apraiz, L

Reference 2

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Observation 4098435e-e56c-4e08-ae7d-7fb4a28b3fa6 · outbound

This paper cites Apraiz and L.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Apraiz and L

Reference 3

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Observation 8d44fa2b-87f7-4b0c-8ffb-1ad74c95d750 · outbound

This paper cites an unresolved cited work.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Unresolved cited work

Reference 4

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Observation 56808f49-b2ea-43a6-97ad-ec6c5c19f8b6 · outbound

This paper cites Bourgain, N.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Bourgain, N

Reference 5

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Observation d80274ec-ff81-4588-b870-9cfbef3474f4 · outbound

This paper cites Burq and I.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Burq and I

Reference 6

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Observation f01f054e-fff7-4fae-9e89-cfcd405a5239 · outbound

This paper cites Burq and I.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Burq and I

Reference 7

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Observation 218c211d-6abf-4dad-b0d3-65a0e6301078 · outbound

This paper cites Capistrano-Filho, V.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Capistrano-Filho, V

Reference 8

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Observation 41e214fd-a9ca-4ac9-b5a2-716545f5a433 · outbound

This paper cites Cohen, Fractal uncertainty in higher dimensions,Ann.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Cohen, Fractal uncertainty in higher dimensions,Ann

Reference 9

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Observation ed7076fd-0ae7-4278-8a38-a91282f37904 · outbound

This paper cites Dolecki, Observability for the one-dimensional heat equation,Studia Math.48(1973), 291–305.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Dolecki, Observability for the one-dimensional heat equation,Studia Math.48(1973), 291–305

Reference 10

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source=pdf_text observed=2026-07-31T23:20:20.735967Z digest=sha256:35d9b35e9b94e7720df2365a4ea1732ff66066a064bd98ba61ed90a1b37f1aed

Observation 82fbf799-1bbf-4d83-b7d1-a58c4b7af569 · outbound

This paper cites Dyatlov, An introduction to fractal uncertainty principle,J.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Dyatlov, An introduction to fractal uncertainty principle,J

Reference 11

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source=pdf_text observed=2026-07-31T23:20:20.819514Z digest=sha256:902c8b20820e9461458180775615b97b9a05c46a9e51088c119e3874d6a4a91b

Observation 24fdb750-2a1a-480a-a943-4d4be1c07bcf · outbound

This paper cites Dyatlov and L.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Dyatlov and L

Reference 12

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source=pdf_text observed=2026-07-31T23:20:20.903010Z digest=sha256:e30b669c4373a959669d12694d513d20d60e9c1c4cfd3a76a58b34964e1bc8fa

Observation 266ca7eb-9bb6-4419-be89-6d8e768ca1a8 · outbound

This paper cites Dyatlov, L.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Dyatlov, L

Reference 13

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source=pdf_text observed=2026-07-31T23:20:20.984014Z digest=sha256:d29d13d1a837c8bff48a0a9eae201e9ba5179c4e265080dadb0c815e57e2e0df

Observation 6158d168-4f33-4edd-85b9-f057968bb5de · outbound

This paper cites Egidi and I.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Egidi and I

Reference 14

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Observation 026a29f2-aea8-4e4a-bd1f-1097c71fcf0d · outbound

This paper cites Friedland and Y.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Friedland and Y

Reference 15

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source=pdf_text observed=2026-07-31T23:20:21.154930Z digest=sha256:62ec1c579064500a6777cf763cac30cc828e424afe60517dc6146aee328802b6

Observation b2602791-4baa-471e-892c-a0a859f80798 · outbound

This paper cites an unresolved cited work.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Unresolved cited work

Reference 16

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Observation 7ae66093-e2e3-4d9c-8a64-122402a0ad4f · outbound

This paper cites an unresolved cited work.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Unresolved cited work

Reference 17

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source=pdf_text observed=2026-07-31T23:20:21.321174Z digest=sha256:2ec21f710824a946662be5b1a8f688584fcb9edf1f326083d7ddc7f67a15a44c

Observation a7c9b0cd-ae44-4cda-b17c-8edba1438028 · outbound

This paper cites an unresolved cited work.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Unresolved cited work

Reference 18

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source=pdf_text observed=2026-07-31T23:20:21.404214Z digest=sha256:51a9750fac7d34050a4bfe4e71ac6fc12b21ce24345b5dd18132687aa027ab1c

Observation 7804283f-137c-449d-8f53-cad620960601 · outbound

This paper cites Hardt and L.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Hardt and L

Reference 19

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source=pdf_text observed=2026-07-31T23:20:21.485848Z digest=sha256:e9dcc4b53cbb8b0c6c31cceff1c12040e8bb107a3d009c075f374c7aa614b50c

Observation a0d3f74e-c1eb-4160-9272-0cecf19a6bec · outbound

This paper cites Haraux, S´ eries lacunaires et contrˆ ole semi-interne des vibrations d’une plaque rectangu- laire,J.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Haraux, S´ eries lacunaires et contrˆ ole semi-interne des vibrations d’une plaque rectangu- laire,J

Reference 20

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source=pdf_text observed=2026-07-31T23:20:21.568719Z digest=sha256:2b828bbb05d46ca1b0d41ff5d7668eac8c81fbaa8d7fd3e79b86178a75601969

Observation 11f8fbff-b0d5-4a04-8de9-196bc820c43a · outbound

This paper cites Higgins,Sampling theory in Fourier and signal analysis, Clarendon Press, Cambridge, 1996.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Higgins,Sampling theory in Fourier and signal analysis, Clarendon Press, Cambridge, 1996

Reference 21

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source=pdf_text observed=2026-07-31T23:20:21.628413Z digest=sha256:49d5f369f2cc26a00c02a9410641a1eecec4c78ad7a1febb9b7f472b3cce5777

Observation ca189b3a-23ed-4f5c-ba53-77ee2a67f346 · outbound

This paper cites Huang, G.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Huang, G

Reference 22

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Observation 1d43f3db-2b15-40ad-91a2-cd4be1e46bd9 · outbound

This paper cites Huang, G.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Huang, G

Reference 23

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Observation 31447710-65ef-4327-b760-bd9ef0ac8f8b · outbound

This paper cites Huang, G.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Huang, G

Reference 24

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source=pdf_text observed=2026-07-31T23:20:21.870382Z digest=sha256:713e6d4fe2cdf46e7dee29c9da79ba6c92761c110b7743c34f603727c5e9ba78

Observation 999a5a46-3001-4431-90df-5c53c4708c1b · outbound

This paper cites an unresolved cited work.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Unresolved cited work

Reference 25

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source=pdf_text observed=2026-07-31T23:20:21.953230Z digest=sha256:65cddbff8e25e5623f2dbb50ee9a571801682b9295c05f95aae4fa6b39259308

Observation 7a207e96-31fe-4a81-8e9e-6d85509b5344 · outbound

This paper cites Jaffard, Contrˆ ole interne exact des vibrations d’une plaque rectangulaire,Portugal.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Jaffard, Contrˆ ole interne exact des vibrations d’une plaque rectangulaire,Portugal

Reference 26

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Observation ae4e5cc1-88be-48a7-b44b-74635d4d3c1b · outbound

This paper cites Jaye and M.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Jaye and M

Reference 27

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source=pdf_text observed=2026-07-31T23:20:22.092343Z digest=sha256:1872e5105953930107286892ae431c0ac596a47791c44f8e54cb25c46e291aec

Observation 67f3f298-9454-470a-86db-1f1de36aa260 · outbound

This paper cites Kato,Perturbation Theory for Linear Operators, Springer, 1995.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Kato,Perturbation Theory for Linear Operators, Springer, 1995

Reference 28

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source=pdf_text observed=2026-07-31T23:20:22.252787Z digest=sha256:717f2b9c7931fdbf668fcc50f1d656a321f345d7e7a2b814820f72b0797c9015

Observation 2123750a-9835-47ae-a4ef-d5b70833ba3d · outbound

This paper cites Kenig, G.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Kenig, G

Reference 29

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source=pdf_text observed=2026-07-31T23:20:22.394288Z digest=sha256:412e813f8e1a3c7b41fcaa6b948962f7767fb6310a48a249b23df2664c838bb9

Observation aa009524-cec2-4f73-96fc-7d186ada306c · outbound

This paper cites Rodino, Linear Partial Differential Operators in Gevrey Spaces, World Scientific, Singapore, 1992.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Rodino, Linear Partial Differential Operators in Gevrey Spaces, World Scientific, Singapore, 1992

Reference 30

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Observation c1a69468-b6cb-4907-a0fe-eaffce3957ee · outbound

This paper cites Kovrijkine, Some results related to the Logvinenko-Sereda theorem,Proc.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Kovrijkine, Some results related to the Logvinenko-Sereda theorem,Proc

Reference 31

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Observation e2a73d05-2d05-4bd6-a0de-eaa3925c24c7 · outbound

This paper cites Le Balc’h and J.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Le Balc’h and J

Reference 32

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source=pdf_text observed=2026-07-31T23:20:22.788871Z digest=sha256:dc6a454c50c20143e503b73b306ecdbb2c910fcb92d9fe91228c2a72d76f93a8

Observation 569f58df-e194-4328-bdc2-c19c0f2b07ea · outbound

This paper cites Lebeau and L.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Lebeau and L

Reference 33

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Observation 7c809f70-2c28-43c7-a17b-e0021f1a4599 · outbound

This paper cites Li and M.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Li and M

Reference 34

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source=pdf_text observed=2026-07-31T23:20:23.209349Z digest=sha256:5b644ecb80d580b813a7e0062d81dfc004eaa858ce46125a9ea0d8ebbf169593

Observation 53d3cefc-47ce-45d1-a601-a6c3cdf08175 · outbound

This paper cites Li and M.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Li and M

Reference 35

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source=pdf_text observed=2026-07-31T23:20:23.369010Z digest=sha256:aeeb967e6d40daef13ecaf545fbd26fa29880966a3aed0c10b61d67c48da6f54

Observation b4e9990c-bfcf-4200-ab47-600285ba0de6 · outbound

This paper cites Lin, Nodal sets of solutions of elliptic and parabolic equations,Comm.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Lin, Nodal sets of solutions of elliptic and parabolic equations,Comm

Reference 36

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source=pdf_text observed=2026-07-31T23:20:23.545899Z digest=sha256:8ce220654f8b44855c14a7d06d4d6502e45347d10b985463e3541f6b2020455c

Observation 539006ab-48d0-43a2-8672-4f898e0c6ca5 · outbound

This paper cites Logunov, Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure,Ann.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Logunov, Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure,Ann

Reference 37

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source=pdf_text observed=2026-07-31T23:20:23.713838Z digest=sha256:12ab9d7f7a8599cc19640bc090453ecba362fbdec90c7b3d6c040a68bf716df0

Observation 27785264-f128-462b-a480-d449c1e39af2 · outbound

This paper cites Logunov, Nodal sets of Laplace eigenfunctions: proof of Nadirashvili’s conjecture and of the lower bound in Yau’s conjecture,Ann.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Logunov, Nodal sets of Laplace eigenfunctions: proof of Nadirashvili’s conjecture and of the lower bound in Yau’s conjecture,Ann

Reference 38

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source=pdf_text observed=2026-07-31T23:20:23.880017Z digest=sha256:ebe555e2adc5114fda3aa58e4b7063a21f62420b02c05b84ef805548472805e3

Observation d8011a91-6e7a-4c91-ac5d-026abe77f474 · outbound

This paper cites Quantitative propagation of smallness for solutions of elliptic equations.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Quantitative propagation of smallness for solutions of elliptic equations

Reference 39

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no resolver link, observed 2026-07-31T23:20:24.056113Z

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source=pdf_text observed=2026-07-31T23:20:24.056113Z digest=sha256:c0404d1422294c120dc455f7c150ae187636bc2c538257de7ff6e5905a4347ef

Observation 3eef41a8-b933-49df-8045-080dba9d626c · outbound

This paper cites Logunov, E.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Logunov, E

Reference 40

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no resolver link, observed 2026-07-31T23:20:24.319285Z

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source=pdf_text observed=2026-07-31T23:20:24.319285Z digest=sha256:12364f3210fcb593d136218403fcadf8f3e7998f0da8c792a1d153c4af62234a

Observation c98b4f94-0733-4f42-8af5-86bfe4c4c7be · outbound

This paper cites Malinnikova, Quantitative transfer of smallness for solutions of elliptic equations with analytic coefficients and their gradients, inMore Progresses in Analysis, pp.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Malinnikova, Quantitative transfer of smallness for solutions of elliptic equations with analytic coefficients and their gradients, inMore Progresses in Analysis, pp

Reference 41

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no resolver link, observed 2026-07-31T23:20:24.464378Z

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source=pdf_text observed=2026-07-31T23:20:24.464378Z digest=sha256:1b214f40b860882fe1a5459b95f63b6a8a8bed498f5ad85a76128d8d39f124f8

Observation e675cbdd-7660-4d07-a225-66d8d81065c1 · outbound

This paper cites Spectral inequalities for Schr\"odinger equations and quantitative propagation of smallness in the plane.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Spectral inequalities for Schr\"odinger equations and quantitative propagation of smallness in the plane

Reference 42

Resolution
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no resolver link, observed 2026-07-31T23:20:24.744936Z

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source=pdf_text observed=2026-07-31T23:20:24.744936Z digest=sha256:fe803348ee62c22d2c72f94c08e1d94b3ef45142cf3704197dca9edd36f6a667

Observation f27c3028-5d1e-4595-955f-d40733563cf1 · outbound

This paper cites an unresolved cited work.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Unresolved cited work

Reference 43

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no resolver link, observed 2026-07-31T23:20:24.956014Z

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source=pdf_text observed=2026-07-31T23:20:24.956014Z digest=sha256:a093dbb5cbd1728245cda969e11fbe647919317739e6f2cc6163f83fcf2a200c

Observation b82249bf-ca16-4df3-9280-bc178d5cf9fe · outbound

This paper cites Miller, Resolvent conditions for the control of unitary groups and their approximations, J.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Miller, Resolvent conditions for the control of unitary groups and their approximations, J

Reference 44

Resolution
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no resolver link, observed 2026-07-31T23:20:25.106367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T23:20:25.106367Z digest=sha256:d7b8de9fa452e949b17377dc880dd06a3c543d8dc6462442e613aca205878769

Observation 3f088d76-19cf-440d-81bc-39903f457c41 · outbound

This paper cites Nazarov, M.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Nazarov, M

Reference 45

Resolution
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no resolver link, observed 2026-07-31T23:20:25.273369Z

Source-reported events for the cited work

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source=pdf_text observed=2026-07-31T23:20:25.273369Z digest=sha256:3a6a68448db75b5bfce5f6822d96be582135eafd3e548ab5bbb43cdf2fa68080

Observation e9e6aa45-6662-47fb-819f-d34467ed46b6 · outbound

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

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus The periodic KdV with control on space-time measurable sets

Reference 46

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unresolved
no resolver link, observed 2026-07-31T23:20:25.438394Z

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source=pdf_text observed=2026-07-31T23:20:25.438394Z digest=sha256:9a21c5860371e2edc1e3d5f697a1397b649f979d2c04fcbf60deaa9b9cc22234

Observation 3543c08e-a625-4a1b-b1ed-f25ebb312b1c · outbound

This paper cites Phung and G.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Phung and G

Reference 47

Resolution
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no resolver link, observed 2026-07-31T23:20:25.599866Z

Source-reported events for the cited work

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source=pdf_text observed=2026-07-31T23:20:25.599866Z digest=sha256:7d37e3f044b253d9ceaefeb0c1bb2de5b15f1c97d3a0a12c50adde3186ad784e

Observation a33d7c4e-5bcc-4bbc-8a90-c6a7a63b5457 · outbound

This paper cites Pommerenke,Boundary Behaviour of Conformal Maps, Grundlehren der mathematis- chen Wissenschaften, Vol.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Pommerenke,Boundary Behaviour of Conformal Maps, Grundlehren der mathematis- chen Wissenschaften, Vol

Reference 48

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no resolver link, observed 2026-07-31T23:20:25.716315Z

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source=pdf_text observed=2026-07-31T23:20:25.716315Z digest=sha256:513b562fe9fc6feab2b7dc17d1d46329619a967eba372532f194958cf4f3e7f7

Observation 7149c499-1382-426b-9e1e-a3b7c2c61eff · outbound

This paper cites Samb, Internal null-controllability of the n-dimensional heat equation in cylindrical domains,C.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Samb, Internal null-controllability of the n-dimensional heat equation in cylindrical domains,C

Reference 49

Resolution
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no resolver link, observed 2026-07-31T23:20:25.832337Z

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source=pdf_text observed=2026-07-31T23:20:25.832337Z digest=sha256:0ddeaa9c20cede37ba33c72fc8ffa4969586ba193e92a4f3b95348e722856865

Observation 1f4d18a4-98a4-43c6-bc8a-730cd9f16da7 · outbound

This paper cites an unresolved cited work.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Unresolved cited work

Reference 50

Resolution
unresolved
no resolver link, observed 2026-07-31T23:20:25.968480Z

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source=pdf_text observed=2026-07-31T23:20:25.968480Z digest=sha256:123238ff11b62503df28b0f984a8b9e616ffb35a193a0e35c89b70043c4385d0

Observation 6c2d2f50-590b-4ecf-bb9c-da33a86814d1 · outbound

This paper cites Wang and M.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Wang and M

Reference 51

Resolution
unresolved
no resolver link, observed 2026-07-31T23:20:26.024520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T23:20:26.024520Z digest=sha256:ea040666584e024c1bb8d1dd06ae4c4b1edfe3b2cb75534e6648518549f69e33

Observation 7af8e2d9-6956-4a82-aeae-2dba6fd84f5b · outbound

This paper cites an unresolved cited work.

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus Unresolved cited work

Reference 52

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unresolved
no resolver link, observed 2026-07-31T23:20:26.033082Z

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source=pdf_text observed=2026-07-31T23:20:26.033082Z digest=sha256:4f5cbd824063a68e25215a7c53854638c90bf00b92f10dac54424151ef5975ac

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