Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:04:40.605916Z
Paper Citation Record · LEDGER
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes
As of 11 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2505.16794.
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 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-28T21:31:03.692854Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T20:16:11.103272Z
Reference resolution
45 of 45 outbound references displayed
- verified exact7
- verified fuzzy15
- unresolved23
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 86278c63-cdc5-402d-a541-c4e31629a81f · outbound
This paper cites 2169, 20140361.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 2169, 20140361
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.411050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7702976f-c83b-453a-83bc-7b8e291b0252 · outbound
This paper cites 1, 261–298.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 1, 261–298
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.397392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2d222b07-9eea-40d1-a31b-ff846effc0c8 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.383505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e4be4c75-5562-4e30-827c-e0b72d9c18f6 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.369720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 210b6bcc-1733-4657-b4cc-e638c91a2b42 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.355075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 326454ef-69a8-4212-882a-f1c1834802d1 · outbound
This paper cites 04, 587–634.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 04, 587–634
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.341671Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cc705b41-e6c5-4067-ac57-88552dde8255 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.327040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cd3e9a57-7a13-4087-90a3-6d5e90be1fd7 · outbound
This paper cites 2, European Mathematical Society, 2007.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 2, European Mathematical Society, 2007
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.313273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 40b2a683-b684-4439-959c-6036c22e2987 · outbound
This paper cites 01, 35–58.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 01, 35–58
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.298393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5529382d-7508-424b-b3e1-11e7d3f33730 · outbound
This paper cites Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:04:40.438190Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec18754e-cecb-4e7b-8d53-313ae79ac317 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.284774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5c616413-2e69-46d7-a70b-dbbb3c683556 · outbound
This paper cites An extension of the $r^p$ method for wave equations with scale-critical potentials and first-order terms.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes An extension of the $r^p$ method for wave equations with scale-critical potentials and first-order terms
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:04:40.910976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 652722ed-c22c-4409-a8e9-d0b158524b54 · outbound
This paper cites Geren, and Rainer K.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Geren, and Rainer K
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.271407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fe24a140-3230-49a0-9e72-114b2bd853ba · outbound
This paper cites Phase transition between shock formation and stability in cosmological fluids.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Phase transition between shock formation and stability in cosmological fluids
Reference 14
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa06659f-fd0b-4869-85a1-8043c3d41694 · outbound
This paper cites Stability of fluids in spacetimes with decelerated expansion.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Stability of fluids in spacetimes with decelerated expansion
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:04:40.467745Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9bab2f70-0e18-4274-ba51-349163178460 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.256739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 448b7928-5157-4bda-ae94-e519a195311f · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.240819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 67a5d85f-c2d2-4f07-a5d1-a8331c218ca4 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.225871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 13aa61f2-d67d-4247-b254-f8005f91a984 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.210820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 57b2f546-7107-4d9f-9473-19126b903dd0 · outbound
This paper cites 01, 87–188.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 01, 87–188
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.196989Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b7cfc578-42ca-4b93-b811-99ad4d5c514c · outbound
This paper cites Hawking and George F.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Hawking and George F
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.183926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 143577ee-fc06-4f4b-9361-3fef353190cb · outbound
This paper cites Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:04:40.863358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5f181fd3-9162-435a-ac3c-6024c3de251f · outbound
This paper cites The weak null condition and global existence using the p-weighted energy method.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes The weak null condition and global existence using the p-weighted energy method
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:04:40.504011Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66e7b81c-f3dd-454c-a72a-d74744a6ee59 · outbound
This paper cites Section A, Physique Th´ eorique35(1981), no.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Section A, Physique Th´ eorique35(1981), no
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.170697Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4af7b3c1-3e23-435b-adf2-26749207d6bc · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.157353Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 967382eb-1668-4814-a1ed-8c9179af782a · outbound
This paper cites Instability of Slowly Expanding FLRW Spacetimes.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Instability of Slowly Expanding FLRW Spacetimes
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:04:40.829320Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d56bff9e-2251-4089-9f67-f640fc8e2a1c · outbound
This paper cites 7, 232 –236.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 7, 232 –236
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.144661Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b8f53523-47fb-4ced-9b1a-9c270551e4d6 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.129403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 42efe7d7-e5f7-4d43-8567-52417c5cbeca · outbound
This paper cites Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes
Reference 29
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:04:40.810550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 76f1d12c-ef27-433a-92b5-dea69e16a082 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.115566Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 33ac73bc-8161-4346-8db0-1268e676de2a · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.097527Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation adf56bae-0576-4af8-b9af-25b11a080487 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.082713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 77b4ec56-8d90-41b5-9b32-485a4e7e0f07 · outbound
This paper cites Robertson,On the foundations of relativistic cosmology, Proceedings of the National Academy of Sciences15 (1929), no.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Robertson,On the foundations of relativistic cosmology, Proceedings of the National Academy of Sciences15 (1929), no
Reference 33
- Resolution
- verified exact
- doi, observed 2026-08-07T15:04:40.642781Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5a0daf3f-f024-4347-a285-779de3ef3592 · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.068226Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5c8f0268-7c40-4e4a-adda-97adde2414bc · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:41.054796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 897e1237-f3b6-4331-b429-b37a5af16e82 · outbound
This paper cites The Stability of the Irrotational Euler-Einstein System with a Positive Cosmological Constant.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes The Stability of the Irrotational Euler-Einstein System with a Positive Cosmological Constant
Reference 36
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:04:40.682619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 94767942-973a-433e-8977-da4955d61299 · outbound
This paper cites 17, 175004.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 17, 175004
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.041156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4979d00d-671c-4441-a9e2-846120925c06 · outbound
This paper cites Hyperboloidal approach for linear and non-linear wave equations in FLRW spacetimes.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Hyperboloidal approach for linear and non-linear wave equations in FLRW spacetimes
Reference 38
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:04:40.662663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8353a6d4-faad-42ee-9f20-eb676905caa0 · outbound
This paper cites 3, 515–600.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 3, 515–600
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.027655Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f77264d0-04a9-4ff3-8b04-d926180d3625 · outbound
This paper cites 3, 633–715.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 3, 633–715
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:41.012745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6a420b01-1a60-47ca-b51a-be62631c81bc · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:40.995878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5f381c05-6a51-4150-afc2-543515fcb69c · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:40.980751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 19478a6f-f30e-4998-a9c0-9a59c74d979e · outbound
This paper cites an unresolved cited work.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:40.967012Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ebbf98eb-2407-4201-8b0c-dc158ef4c205 · outbound
This paper cites 1, 57 –65.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 1, 57 –65
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:40.953254Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 27273e06-2c57-4b83-adf8-efdf34683cb8 · outbound
This paper cites 1, 101–124.
Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 1, 101–124
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:40.939341Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
Observation da282f75-710f-42bc-9085-b4ff30860be0 · inbound
Future global stability of Maxwell-J\"uttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes cites this paper.
Future global stability of Maxwell-J\"uttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes
Reference 41
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T20:16:11.104933Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.