Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:53:15.943896Z
Paper Citation Record · LEDGER
Decay estimates for the linear damped wave equation on the Heisenberg group
As of 16 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:1908.02657.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:37:10.128752Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T14:37:10.216398Z
Reference resolution
36 of 36 outbound references displayed
- verified exact2
- verified fuzzy14
- unresolved19
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 394cec61-b4f9-4b28-a5de-052147a483ac · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:17.408377Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ae265670-5767-4a14-9f07-2a07611072df · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:17.370542Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0596550f-bbc2-4be5-950a-492a339b3507 · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:17.320171Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4d595fa7-2e5c-4b11-b6f2-f2fdd8558b74 · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:17.294748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9bef5871-2e43-4e30-8336-214df51cfe9a · outbound
This paper cites Part I: Basic theory and examples.
Decay estimates for the linear damped wave equation on the Heisenberg group Part I: Basic theory and examples
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:17.258201Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ed61ced6-b7f9-41eb-b37c-5d7c6b69972d · outbound
This paper cites North-Holland Publishing Co., Amsterdam, 1977.
Decay estimates for the linear damped wave equation on the Heisenberg group North-Holland Publishing Co., Amsterdam, 1977
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:17.197248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 747fb6ac-491a-4086-a956-d54e9f344ed2 · outbound
This paper cites Volume 27 of North-Holland Mathematical Library.
Decay estimates for the linear damped wave equation on the Heisenberg group Volume 27 of North-Holland Mathematical Library
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:17.167145Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 625347de-a4fb-49f8-94a6-4bb196878a9d · outbound
This paper cites Qualitative pr operties of solutions, phase space analysis, semilinear models, Birkh¨ auser, Basel, 2018.
Decay estimates for the linear damped wave equation on the Heisenberg group Qualitative pr operties of solutions, phase space analysis, semilinear models, Birkh¨ auser, Basel, 2018
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:53:15.640281Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation caf403b0-cc44-48c7-8e81-4a95e465f948 · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:17.097950Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a013ba6f-e6c5-467d-acd3-78c52c1a9bd9 · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:17.055781Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1463b747-3ec2-4bca-a6f5-962fed32062f · outbound
This paper cites Math., vol.
Decay estimates for the linear damped wave equation on the Heisenberg group Math., vol
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:17.024058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 179cf07a-a0be-4317-94e8-ca27af547b4c · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:16.986919Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b2bb3af3-f02e-4cdf-9202-9c87c81df671 · outbound
This paper cites Studies in Advanced Mathematics.
Decay estimates for the linear damped wave equation on the Heisenberg group Studies in Advanced Mathematics
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:16.947473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation da584e1b-e96e-4ce8-a6b2-9f84d9190014 · outbound
This paper cites Differential Equations 258 )(12) (2015), 4324-4347.
Decay estimates for the linear damped wave equation on the Heisenberg group Differential Equations 258 )(12) (2015), 4324-4347
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:16.895479Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9ad96762-e8d7-4a62-9481-dad79273ab40 · outbound
This paper cites 139 (1977), 95-153.
Decay estimates for the linear damped wave equation on the Heisenberg group 139 (1977), 95-153
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:16.867596Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 235a6900-6720-4b0c-901d-f1fb0657feb3 · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:16.843076Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 888e0262-c80d-4c9e-a734-b20871a66deb · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:16.808790Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation def4c286-a15e-4a83-ad2c-907fd7bb668b · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:16.768424Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c8489fcb-2fec-4bf1-a2fd-f17fb25428c8 · outbound
This paper cites 61(7) (2005), 1189-1208.
Decay estimates for the linear damped wave equation on the Heisenberg group 61(7) (2005), 1189-1208
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:53:15.744455Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4685bc3-55ec-43a8-a2e5-853c51a17fd0 · outbound
This paper cites Volume 64 of Graduate Studies in Mathematics.
Decay estimates for the linear damped wave equation on the Heisenberg group Volume 64 of Graduate Studies in Mathematics
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:16.686613Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b47883db-b228-476d-b5c8-75002a1945a6 · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:53:15.780037Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae63fde2-1f18-4854-8c3c-4f101d902a3c · outbound
This paper cites PDE 8(5) (2015), 1051-1100.
Decay estimates for the linear damped wave equation on the Heisenberg group PDE 8(5) (2015), 1051-1100
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:16.633311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation baa36e24-a6ac-42c1-9c95-a3f2242730e8 · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:16.595051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1226c0e6-3f6d-4cd7-8414-143d830c0e7a · outbound
This paper cites Partial Differential Equations 7(6) (1982), 675-714.
Decay estimates for the linear damped wave equation on the Heisenberg group Partial Differential Equations 7(6) (1982), 675-714
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:16.549032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 29d2dba0-65e5-48b9-b7d5-6d4b0bf64dde · outbound
This paper cites Pseudo Diff.
Decay estimates for the linear damped wave equation on the Heisenberg group Pseudo Diff
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:16.507715Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7498ad4d-37ae-4019-8db0-93204b1b7cb9 · outbound
This paper cites Lifespan estimates for local in time solutions to the semilinear heat equation on the Heisenberg group.
Decay estimates for the linear damped wave equation on the Heisenberg group Lifespan estimates for local in time solutions to the semilinear heat equation on the Heisenberg group
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:53:15.825137Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bbe7c084-20a8-42a4-bcf0-b67b9897daa5 · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:16.464889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e06dc683-709f-44c3-8e93-cfdf6ecd4a4d · outbound
This paper cites an unresolved cited work.
Decay estimates for the linear damped wave equation on the Heisenberg group Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:53:16.425304Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 409b8872-68c1-4713-be62-4c857c17c7a1 · outbound
This paper cites Time-dependent wave equations on graded groups.
Decay estimates for the linear damped wave equation on the Heisenberg group Time-dependent wave equations on graded groups
Reference 29
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:53:16.213612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2a7e3496-0e5b-4f79-8925-97c90939a53b · outbound
This paper cites Differential Equations 265 (2018), 5212-5236.
Decay estimates for the linear damped wave equation on the Heisenberg group Differential Equations 265 (2018), 5212-5236
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:53:15.876726Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 05633d68-1936-4dac-ba66-e2a3702572c8 · outbound
This paper cites Very weak solutions to hypoelliptic wave equations.
Decay estimates for the linear damped wave equation on the Heisenberg group Very weak solutions to hypoelliptic wave equations
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:53:16.159969Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 73f990f5-b950-4f67-8bdd-1b6efc3a7e73 · outbound
This paper cites Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups.
Decay estimates for the linear damped wave equation on the Heisenberg group Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:53:15.893404Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0fe2d0ec-9042-4b19-9791-7f8e3a449421 · outbound
This paper cites Wave equations on graded groups and hypoelliptic Gevrey spaces.
Decay estimates for the linear damped wave equation on the Heisenberg group Wave equations on graded groups and hypoelliptic Gevrey spaces
Reference 33
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-14T14:53:16.032692Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation afd5c890-1d66-45f6-82bf-5b6021d73649 · outbound
This paper cites Volume 22 of Mathematical Surveys and Monographs.
Decay estimates for the linear damped wave equation on the Heisenberg group Volume 22 of Mathematical Surveys and Monographs
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:16.376710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3ff1b60c-14d3-4d8d-a1fd-f1df70c93ebf · outbound
This paper cites Differential Equations 174(2) (2001), 464-489.
Decay estimates for the linear damped wave equation on the Heisenberg group Differential Equations 174(2) (2001), 464-489
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:16.344476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2e3e3e90-ae2d-4128-888b-7e9eeb84040c · outbound
This paper cites Cambridge University Press, Cambridge, 1992.
Decay estimates for the linear damped wave equation on the Heisenberg group Cambridge University Press, Cambridge, 1992
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:53:16.300100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
Observation badfdb08-2ea0-4900-b228-282a5f20fa94 · inbound
Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity cites this paper.
Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity Decay estimates for the linear damped wave equation on the Heisenberg group
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:37:10.220942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.