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Paper Citation Record · LEDGER

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.05631.

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

pith.paper-citation-record.v1
1908.05631 v3

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:23:03.986442Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

  • verified exact5
  • verified fuzzy16
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 007c69dc-9c19-4d7b-bb8d-ebeaa0edd348 · outbound

This paper cites Anantharaman and M.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Anantharaman and M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.403957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.868282Z digest=sha256:22ea9cafe29484a422ad2a8d795c1bc59393b0fa088fb213f5c5f6256a9c60ad

Observation 59c7e354-58ca-47d2-98aa-0a350580990a · outbound

This paper cites Burq and P.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Burq and P

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.391211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.873534Z digest=sha256:30a2e87f14b842e36866898bed0d85db9051707769d35ce2a859c888c412a531

Observation f5eecb42-b182-4806-8016-4fe344459191 · outbound

This paper cites Stabilisation of wave equations on the torus with rough dampings.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Stabilisation of wave equations on the torus with rough dampings

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:23:04.116052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.877890Z digest=sha256:c151f7301789e5e874459c319f8cc2a4017f0967093a2b8fd397414dc1971f3c

Observation 8758db48-c2b1-468e-abf1-c881d5d42dbd · outbound

This paper cites Burq and M.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Burq and M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.379092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.882928Z digest=sha256:470a72a3a7d189c5cda2994b8364c8271622399dec19fdd0af0e77f890096e03

Observation 5402bece-845e-45ac-b556-40306bb2d75d · outbound

This paper cites Bardos, G.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Bardos, G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.367849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.887769Z digest=sha256:f33f199e15a4d03de220a005fc1b42cf1205520b15765345cf4e8b92947d0af9

Observation 0d61214b-f3f5-4f84-a8f4-d872c5d7ca9c · outbound

This paper cites Borichev and Y.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Borichev and Y

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.356783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.892765Z digest=sha256:c7ac1bb0d4583ed3ff0879d1732f38b1dbf4193c131f3ea7aca75a84038147e3

Observation 1e307c15-c787-45fd-bfc5-28c4a1236f92 · outbound

This paper cites an unresolved cited work.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:04.345444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 23a32435-0a48-47aa-98ea-0d07b356f9fd · outbound

This paper cites Burq and M.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Burq and M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.334467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.901725Z digest=sha256:0067a3772652f690bb144bb50d3ace68205957945bd0ae00c79f0dd4ec9c40bb

Observation c08f0e5d-3f9c-4bb6-81a9-075c182f24ad · outbound

This paper cites Burq and M.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Burq and M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.322562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0477fa8f-7659-4e70-9111-ff79ae692299 · outbound

This paper cites Resolvent estimates on asymptotically cylindrical manifolds and on the half line.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Resolvent estimates on asymptotically cylindrical manifolds and on the half line

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:23:04.099174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.911412Z digest=sha256:2ef6128114906a5bde043baa5eaae3a17bbc3b6123c23f8abf1bf7bb31777a96

Observation a247c2b1-5e13-46ac-ac74-5acab24c21ac · outbound

This paper cites Christianson, E.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Christianson, E

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.312130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 30843e63-02c4-473c-a10e-facf76dc1ef8 · outbound

This paper cites Cardoso and G.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Cardoso and G

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.300526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.921080Z digest=sha256:854fb014c68eb0eef9952648fb15a78745a1675a1e04586a0bedfba338834c3c

Observation 336eee19-0b2f-48f8-8eec-26f7e834965e · outbound

This paper cites de Hoop, G.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping de Hoop, G

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.287738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.925077Z digest=sha256:db46d27156c1f7e8f08ba7129b5c43ad319658880bdde2140e5759ed44c70c3c

Observation 4bbfecbf-df68-4314-a9c9-36c816a2bfac · outbound

This paper cites Control of eigenfunctions on surfaces of variable curvature.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Control of eigenfunctions on surfaces of variable curvature

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:23:04.080421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.928937Z digest=sha256:e69fa00fe71b152f6bde28ef6828b8372ac703268abc583c80fdd8f3567367bb

Observation 8b2b6962-f79a-421b-a8db-125c2f9411b1 · outbound

This paper cites Datchev, D.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Datchev, D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.275104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.933208Z digest=sha256:5a816a2899516f55e2b6c49d716302fd39bf82b0b28b8751ba81be4bea6c4bee

Observation 29b927d4-464a-45ae-a262-91c7f6338c2c · outbound

This paper cites Resonance-free regions for diffractive trapping by conormal potentials.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Resonance-free regions for diffractive trapping by conormal potentials

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:23:04.062285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.937574Z digest=sha256:3cb2fba740bf9d8fd0efecee335bd33d55f183dcf3b00981df7cf1941fe15dbd

Observation 1cdf2ac1-bfef-4ab5-b5f4-b7561dbcb5fe · outbound

This paper cites Semiclassical diffraction by conormal potential singularities.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Semiclassical diffraction by conormal potential singularities

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:23:04.040724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.941810Z digest=sha256:020e51e3f568380bc046eb62a689ddee8151a183033f174f7725a668bfc6d2d0

Observation a6469714-d665-4659-b3f7-2f943152554e · outbound

This paper cites an unresolved cited work.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:04.263518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.945808Z digest=sha256:b87992bd941101796079196e51593be937ac736babab37b82818a2ef7739757d

Observation 386111a3-e4f0-4426-928c-c23904a6e714 · outbound

This paper cites Kleinhenz.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Kleinhenz

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.252050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.949644Z digest=sha256:52bc8e168e6ea4058a3f4a2667235f65e0bb09bdc3b972b4f0dbd565ae2b8fbd

Observation 76ebfeaf-9619-452b-9f51-b25b33efa130 · outbound

This paper cites an unresolved cited work.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:04.231710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.953121Z digest=sha256:2e637b414763ffbb82f3b2ceab1f523a6e29c6464f74b030c94e51f5b6ae5338

Observation 2a5a0ac3-3508-4f30-945f-caff7e71005c · outbound

This paper cites L \'e autaud and N.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping L \'e autaud and N

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.215891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 589c76c0-0c1a-4e3d-8b39-e4be6153dbc6 · outbound

This paper cites Liu and B.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Liu and B

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.961952Z digest=sha256:e21ad8d35e8dabb49c5a967d12a6780ee8799c480021dca92a714ea802f57921

Observation 935fdf4e-7a16-47c8-a872-ccc5a27dab47 · outbound

This paper cites an unresolved cited work.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:04.191569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.966115Z digest=sha256:a6ac3a65d0cdc6ff68603951294bcf28e1e8c2305aa6f83a8b19fabcdaa27095

Observation 7d33a8b8-31d0-45dd-b0f2-531e9ff4df7e · outbound

This paper cites an unresolved cited work.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:04.179573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.969973Z digest=sha256:9773f815d776a69fbf753fced9b85ad4e22176b04303943d26cd825fbae22657

Observation d513a650-517e-45d0-af87-e9ade85b3348 · outbound

This paper cites Nonnenmacher.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Nonnenmacher

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.168086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.974209Z digest=sha256:104f27e854d15b743840dec01d06d32dd39e66bdfafc4c64100d3399a2f99bb0

Observation 35174f52-7523-4827-ab3d-961738de9db0 · outbound

This paper cites an unresolved cited work.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:04.155567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.978586Z digest=sha256:e72bb927a729da42af70cd95224bb3e72b82e3f25e709d480b796690a1910157

Observation f78da835-d8bc-42a9-8e4c-a30416069ce5 · outbound

This paper cites Rauch and M.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Rauch and M

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:04.143360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.982542Z digest=sha256:b0d677a8ceb9eccf12021595f21ed667d738a9dba7223022371f7da55c6101f9

Observation fde46a21-c4d4-4318-a8d0-a15bd186fd83 · outbound

This paper cites an unresolved cited work.

Sharp polynomial decay rates for the damped wave equation with H\"older-like damping Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:23:04.130550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:23:03.986442Z digest=sha256:77aca3e80d05c353eb87fa08818b0ab972190a19305de16581ce7feec656744f

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