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Paper Citation Record · LEDGER

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds

As of 21 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2501.06957.

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

pith.paper-citation-record.v1
2501.06957 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:56:56.049591Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T12:45:50.054794Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T19:06:09.039180Z

Reference resolution

38 of 38 outbound references displayed

  • verified exact0
  • verified fuzzy35
  • unresolved3
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ecd5c3cb-a4c4-40cc-a19c-802ed9fb5600 · outbound

This paper cites Anker, V.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Anker, V

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 3419174c-837c-4e8a-a8ef-ba80e3a5ac0c · outbound

This paper cites Anker, V.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Anker, V

Reference 2

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 4835b16b-445c-47dd-9c58-d297a9317e79 · outbound

This paper cites Anker, V.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Anker, V

Reference 3

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raw_fallback, observed 2026-08-10T20:56:56.501573Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.909548Z digest=sha256:0c4de5dde61093266dc315ddf2dd4d76aedf7ed28a9f1de76ab4828091baeec6

Observation 4532c691-b808-4a41-a321-b9e02d9bc065 · outbound

This paper cites Anker, V.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Anker, V

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.913342Z digest=sha256:1d60978637f48a4c408c08a518559f097642f19092d199e2c62547d6a065fc3a

Observation d18abfc1-d020-4408-aec8-1cc61522084b · outbound

This paper cites Beceanu, M.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Beceanu, M

Reference 5

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.917299Z digest=sha256:d7dca9229f093324ef06ddd5ed6f80e889a5718d7887745535226475bc04dbfb

Observation 772b7026-fc0e-4983-8d67-cda6ab986b8b · outbound

This paper cites Beceanu, M.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Beceanu, M

Reference 6

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.921201Z digest=sha256:1c45a00cd39dc6708736dee636b293958839ccda6c8c21dd3d0da0c96fda034a

Observation ea7d6ff9-070b-4a99-a523-bd3e634edd06 · outbound

This paper cites Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions

Reference 7

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no resolver link, observed 2026-08-10T20:56:55.925305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:56:55.925305Z digest=sha256:a1e1456964f3a9aa6aeea034c4488555bb4dd46ab3df414fb93e944189b195c8

Observation 7262921c-253f-42f8-8235-42d0852a0121 · outbound

This paper cites o fstr\.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds o fstr\

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.929177Z digest=sha256:e2ee9907d4f4bd292d20aadc425a6532c2f36c81f8004337a1644818cc5c7f81

Observation 27b07fad-36e5-4978-be70-22a43e38ce61 · outbound

This paper cites Calegari, Introduction to differential geometry, preprint, online.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Calegari, Introduction to differential geometry, preprint, online

Reference 9

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raw_fallback, observed 2026-08-10T20:56:56.451598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.933035Z digest=sha256:f91395520ed771f88c5358527dfd70e42197f7c1ca7c0e45ccd9bc1107ac5525

Observation 17cf9479-c3c6-45c1-a105-326a2dc9b861 · outbound

This paper cites Chen, Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds III.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Chen, Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds III

Reference 10

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.936547Z digest=sha256:4086557b807002d9dc18b7b6e01c68f9dbedd794f1c00a6e6bf1c86e1ae61425

Observation dba01b26-2591-4cc6-9cf0-9ad1d37780e6 · outbound

This paper cites Do Carmo, Riemannian Geometry, Birkh\" a user, 1992.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Do Carmo, Riemannian Geometry, Birkh\" a user, 1992

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.940090Z digest=sha256:33cb872fb4eadbf7f3d31e0a12580dea19a05dcfa5f0fc8dc148db235fe8ddce

Observation 90432621-2a22-4ae5-9e04-582fcb678fb3 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Unresolved cited work

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.943860Z digest=sha256:8b3edde668f5b8bc0aa25b9eb303c48c736808c059a3b648cc7ae8ec888b9809

Observation 3e69c042-59f0-45a2-ae61-ce70ddf23c4c · outbound

This paper cites Hassani, Wave equation on Riemannian symmetric spaces, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Hassani, Wave equation on Riemannian symmetric spaces, J

Reference 13

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.947461Z digest=sha256:e69d4505f6d9ff7d55829a03944162c1cd26b2c4f9ada9e23d942df2563e76ea

Observation 8b9722fd-ba5a-4669-b73c-76f8ba7963e5 · outbound

This paper cites Hassell, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Hassell, J

Reference 14

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation dc6f6a08-50a5-483b-8c70-1a44de8d7b8b · outbound

This paper cites Ionescu, Fourier integral operators on noncompact symmetric spaces of real rank one, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Ionescu, Fourier integral operators on noncompact symmetric spaces of real rank one, J

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 21ff045d-b29a-4c4c-bfca-8782ead671d3 · outbound

This paper cites Kapitanski, Norm estimates in Besov and Lizorkin--Treibel spaces for the solutions of second order linear hyperbolic equations, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Kapitanski, Norm estimates in Besov and Lizorkin--Treibel spaces for the solutions of second order linear hyperbolic equations, J

Reference 16

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 06928d37-a8bd-4f96-9293-97ed1b42ee88 · outbound

This paper cites Lee, Riemannian manifolds.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Lee, Riemannian manifolds

Reference 17

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.961745Z digest=sha256:a41ef7ddd5f4d5b13b21f7628eab3fe18b9c2e3be1af328a9859e4c895ff8d7a

Observation 9c8926e4-af68-4cc6-945a-54ecf3763c63 · outbound

This paper cites Marzuola, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Marzuola, J

Reference 18

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.965348Z digest=sha256:685d09c054c5c6ca0ee80a6214db13e5cc73efcc6e5bd792fdc4de0f2f0accf7

Observation 23f27318-6944-4489-8cc7-271a75ff4d59 · outbound

This paper cites Marzuola, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Marzuola, J

Reference 19

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 44b48034-7730-4eb2-bdad-ccbfac6a8380 · outbound

This paper cites Metcalfe, M.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Metcalfe, M

Reference 20

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.972884Z digest=sha256:2e8dfce9473864a1cee09b9ce8fec650befd972da9a6c6a395ce6f76ecf41334

Observation 760bd2e9-35b7-4de6-948d-6ae934968ce8 · outbound

This paper cites Metcalfe, D.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Metcalfe, D

Reference 21

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 9fc300ba-364e-4e25-8736-891728f0046d · outbound

This paper cites Mockenhaupt, A.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Mockenhaupt, A

Reference 22

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.980087Z digest=sha256:782f03a4f2734249c2c1561eec6f1b44da4ed57c6f0696a1d10fe2fc7d2067f3

Observation 40bbcedb-c37b-4916-b5a1-ffc19736f6cd · outbound

This paper cites Rodnianski, W.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Rodnianski, W

Reference 23

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0ed72515-42d7-4222-b5d5-28d1eb2a2f13 · outbound

This paper cites Schlag, A.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Schlag, A

Reference 24

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.987262Z digest=sha256:a534d64fa203ab25643d078bd9259c94f15a4cdfcc899e4d2df094b79e5f1940

Observation ea725321-fa9a-47d0-81a3-2d4f52357040 · outbound

This paper cites Schlag, A.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Schlag, A

Reference 25

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.990701Z digest=sha256:a5964617dd8a5966653bc4e3bc8ab335f273eff8ee20cf5b441e619b2f14de5e

Observation ca249a7b-3656-46c6-ad49-09c675444017 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Unresolved cited work

Reference 26

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raw_fallback, observed 2026-08-10T20:56:56.277064Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.993778Z digest=sha256:5b2f5a689a080c044b1c6414fae518eda1bf0f7baa2e896c179a2a9264142bc6

Observation 3bd37f68-22d1-4ac9-875f-4f9cb13aff91 · outbound

This paper cites Smith, A parametrix construction for wave equations with C^ 1,1 coefficients , Ann.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Smith, A parametrix construction for wave equations with C^ 1,1 coefficients , Ann

Reference 27

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raw_fallback, observed 2026-08-10T20:56:56.266729Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:55.996867Z digest=sha256:838d883fde3f93bc65814637b2f32a1541314958d2131547ef3a66d66ca6d661

Observation 4b24162d-ef1b-42a1-94b7-824a25e0e44b · outbound

This paper cites Smith, C.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Smith, C

Reference 28

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raw_fallback, observed 2026-08-10T20:56:56.255660Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.000502Z digest=sha256:9513e61c602f3e9f7411dea0adfc08d093f71ff04edc328803aa7946cfa45edc

Observation 602c8ee6-be35-4e96-ab90-760ce3172b73 · outbound

This paper cites Smith, C.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Smith, C

Reference 29

Resolution
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raw_fallback, observed 2026-08-10T20:56:56.240015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.003566Z digest=sha256:4ce894b4767907da341b5fa76ec37250d547159b28fd4e1cc1231b26287b1898

Observation 7b364905-e78d-47a3-b33d-b61de7c91cb2 · outbound

This paper cites Sogge, C.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Sogge, C

Reference 30

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raw_fallback, observed 2026-08-10T20:56:56.223892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.006722Z digest=sha256:a668d4b69e2b4299df9bd351097c5ae19cdd957c74971b0b6b8d060430a34db6

Observation ca7dd388-590c-419b-85d3-1b6a2242294b · outbound

This paper cites Staffilani, D.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Staffilani, D

Reference 31

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raw_fallback, observed 2026-08-10T20:56:56.208024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.009778Z digest=sha256:d5765696d1333d372aac9d906268eb4da554256812364d68975b8a1d53968212

Observation 660410da-7c8b-446f-99b3-fc6c946c8077 · outbound

This paper cites Tataru, Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation Amer.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation Amer

Reference 32

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raw_fallback, observed 2026-08-10T20:56:56.194312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.013251Z digest=sha256:9f68409da61e5e03a073fd11b95bfc051a7d33dd094ab18bac0474f137aa960b

Observation 9d31d1df-95db-441b-aa16-9e732dfe3229 · outbound

This paper cites Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients II, Amer.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients II, Amer

Reference 33

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raw_fallback, observed 2026-08-10T20:56:56.179337Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.026629Z digest=sha256:99d6d9f9672917a121ca48bd82d3cbd3bbdd6907f5b74f33ac5cc412334fd089

Observation d0ae09c3-ee64-4a16-8b83-7e9a5c04d348 · outbound

This paper cites Tataru, Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation, Trans.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation, Trans

Reference 34

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raw_fallback, observed 2026-08-10T20:56:56.165945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.031067Z digest=sha256:668ed55a332a0a50b55e84acc80a3b36fc050e87d67b3c2d2a77c11001280524

Observation bf8d6ede-a42a-4612-a483-dc468ba6ec28 · outbound

This paper cites Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:56:56.152929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.035355Z digest=sha256:911bbe36a17fe0467edecaff38a65d0a42cb060ab03f7b34dbe94f6931ff6869

Observation 52f28015-2975-4700-8881-ab6bbdf57e54 · outbound

This paper cites Tataru, Parametrices and dispersive estimates for Schr\" o dinger operators with variable coefficients , Amer.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Parametrices and dispersive estimates for Schr\" o dinger operators with variable coefficients , Amer

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:56:56.139833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.040024Z digest=sha256:7fca0e8592aea2a6585cdb94738fd4f7f2d6139951d3ba2b08577bd82be2e7a6

Observation bfc33f94-cf50-4f53-9927-540e8a71709d · outbound

This paper cites Tataru, Local decay of waves on asymptotically flat stationary space-times, Amer.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Local decay of waves on asymptotically flat stationary space-times, Amer

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:56:56.127586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.045160Z digest=sha256:2161f24bb1d8eb2fbb5506bad04248349d7e5911a75d5de6a6b75aaf2b8a465d

Observation f0d2737f-da24-40af-a9fb-e4552027c7f3 · outbound

This paper cites Zhang, Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds, Advances in Math., 271(2015), pp.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Zhang, Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds, Advances in Math., 271(2015), pp

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:56:56.111905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-10T20:56:56.049591Z digest=sha256:5ef72ad4bbaa52057b96660d69dbcc43573e1bf5918931c7d30f5d232c8c99ab

Pith citing papers

Observation b2cbf1c3-c094-4120-9573-7a66d51fa503 · inbound

Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit cites this paper.

Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-11T19:06:09.042234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-08T12:45:50.054794Z digest=sha256:9a65b87c4fe4372f6bb62158d79101d426cd70a0e635da9d58207bff78ad6fbb