Paper Citation Record · LEDGER

Decay estimates for the two-dimensional Beam equation with potentials

As of 18 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2606.16793.

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

pith.paper-citation-record.v1
2606.16793 v2

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measured 49 of 49 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T11:19:23.298146Z

measured 49 of 49 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

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Reference resolution

49 of 49 outbound references displayed

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Outbound references

Observation 965353fa-1cdf-403c-a7cc-b02aead69177 · outbound

This paper cites Abramowitz, I.

Decay estimates for the two-dimensional Beam equation with potentials Abramowitz, I

Reference 1

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Observation 6462ffe0-5188-4f59-b765-0d7500dcda6a · outbound

This paper cites Agmon,Spectral properties of Schr¨ odinger operators and scattering theory, Ann.

Decay estimates for the two-dimensional Beam equation with potentials Agmon,Spectral properties of Schr¨ odinger operators and scattering theory, Ann

Reference 2

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Observation b0818781-8048-4b94-8f87-f37b22792073 · outbound

This paper cites Beals,OptimalL ∞ decay for solutions to the wave equation with a potential, Comm.

Decay estimates for the two-dimensional Beam equation with potentials Beals,OptimalL ∞ decay for solutions to the wave equation with a potential, Comm

Reference 3

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Observation af3a6de5-5a60-42e9-845f-f2c9ce7f2d8c · outbound

This paper cites Beals, W.

Decay estimates for the two-dimensional Beam equation with potentials Beals, W

Reference 4

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Observation 04b89428-8661-4922-83dd-dd51c598b2a5 · outbound

This paper cites Beceanu, M.

Decay estimates for the two-dimensional Beam equation with potentials Beceanu, M

Reference 5

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Observation 57585b44-3948-49a7-9ecb-c592f522945c · outbound

This paper cites an unresolved cited work.

Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 6

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Observation b78ab318-a5d6-48c9-95a3-49da89815ef8 · outbound

This paper cites an unresolved cited work.

Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 7

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Observation 820731ff-bc1e-412e-ac72-006f2ec009c0 · outbound

This paper cites Cardoso, G.

Decay estimates for the two-dimensional Beam equation with potentials Cardoso, G

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:17.839400Z

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Observation ed6e1cab-4f92-42da-a58c-14e9c26c410b · outbound

This paper cites an unresolved cited work.

Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 9

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Observation 93fcb973-739f-49f2-955f-5dce5e7dab76 · outbound

This paper cites an unresolved cited work.

Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 10

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Observation e3207650-46d6-42c2-bd75-942e3beff82a · outbound

This paper cites The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions.

Decay estimates for the two-dimensional Beam equation with potentials The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions

Reference 11

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Observation 30c141f6-b475-4509-a675-4d7324f1be2e · outbound

This paper cites D’Ancona, V.

Decay estimates for the two-dimensional Beam equation with potentials D’Ancona, V

Reference 12

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Observation c1343a4f-3505-4a19-86b0-a330d8b79711 · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 13

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Observation c6184602-6111-4f9c-a488-b04659c1716b · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 14

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Observation 70294e7a-1a56-4e53-a436-85103990de5d · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 15

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Observation 92a3d2f2-b713-4636-9c7d-27f46397cc4e · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 16

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Observation 57435229-99b3-44af-98da-92b896092591 · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 17

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Observation 1be09094-1d36-407b-80eb-119aabe89b22 · outbound

This paper cites an unresolved cited work.

Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 18

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Observation 83369819-3981-4dab-a632-787ce6043658 · outbound

This paper cites an unresolved cited work.

Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 19

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Observation 8987c1aa-ecf7-429f-aab0-c0eadc74b6f3 · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 20

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Observation ff0250e1-ae64-4b5d-9f0e-3ea614c92eb3 · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 21

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Observation 0911f760-e51b-4866-8dda-b14ac07ac086 · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 22

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Observation 78084655-8597-4bc5-aa7d-27d6b2a62218 · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 23

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Observation 0d4f7af3-575b-49ad-aea7-09fb1016f619 · outbound

This paper cites Froese, I.

Decay estimates for the two-dimensional Beam equation with potentials Froese, I

Reference 24

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Observation ccefef0c-d0d2-4f53-9b4e-32518db8334f · outbound

This paper cites Galtbayar, K.

Decay estimates for the two-dimensional Beam equation with potentials Galtbayar, K

Reference 25

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Observation 04082193-dea9-4565-9257-3e2014ec822d · outbound

This paper cites Georgiev, N.

Decay estimates for the two-dimensional Beam equation with potentials Georgiev, N

Reference 26

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Observation fe7aec27-a502-4e91-80d1-2077224afc3b · outbound

This paper cites Ginibre, G.

Decay estimates for the two-dimensional Beam equation with potentials Ginibre, G

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:20.340948Z

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Observation 0cfe22c6-a0a9-4927-9272-2e28a5b9008d · outbound

This paper cites Goldberg, W.

Decay estimates for the two-dimensional Beam equation with potentials Goldberg, W

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:20.485716Z

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Observation e1d5fec8-10ad-4e13-8336-6e23da4e49d6 · outbound

This paper cites Goldberg, M.

Decay estimates for the two-dimensional Beam equation with potentials Goldberg, M

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:20.629176Z

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Observation 33e4ccaa-af6a-4ac2-89ca-ad3fcc5793ab · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 30

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Observation ea1fd576-0817-4d4a-b183-294759840651 · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:20.887076Z

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Observation c3c2647f-81c0-434b-9cc5-4217d5eb03da · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 32

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Observation facd0f1e-834a-4b19-bb32-684d8288cf6a · outbound

This paper cites Jensen, T.

Decay estimates for the two-dimensional Beam equation with potentials Jensen, T

Reference 33

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Observation 0906b8c5-8dca-4103-988e-50925be96002 · outbound

This paper cites Jensen, G.

Decay estimates for the two-dimensional Beam equation with potentials Jensen, G

Reference 34

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Observation 3f03eb08-92c5-4500-b1f7-e237f5f089fe · outbound

This paper cites Kato,Growth properties of solutions of the reduced wave equation with a variable coefficient, Comm.

Decay estimates for the two-dimensional Beam equation with potentials Kato,Growth properties of solutions of the reduced wave equation with a variable coefficient, Comm

Reference 35

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Observation 654c1204-70c8-4c5d-8132-6729678db262 · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 36

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Observation 3eda0c16-4e83-4923-8c4e-d864a980e85f · outbound

This paper cites Kopylova,Dispersive estimates for the 2D wave equation, Russ.

Decay estimates for the two-dimensional Beam equation with potentials Kopylova,Dispersive estimates for the 2D wave equation, Russ

Reference 37

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Observation 7dc10f89-464e-40e1-9b3a-d823db34237b · outbound

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Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:21.784805Z

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Observation 09573d3a-d5a1-4ede-bf4c-8a2d9bfa9c5a · outbound

This paper cites Marshall, W.

Decay estimates for the two-dimensional Beam equation with potentials Marshall, W

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:21.906534Z

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Observation 125a01a3-75c9-43e9-94a2-3712d0546053 · outbound

This paper cites Mizutani, Z.

Decay estimates for the two-dimensional Beam equation with potentials Mizutani, Z

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:22.079248Z

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Observation bc6362ff-4a0c-4b12-ac3c-52ad25355972 · outbound

This paper cites Mizutani, Z.

Decay estimates for the two-dimensional Beam equation with potentials Mizutani, Z

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:22.192715Z

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Observation 0d6fdf87-8c02-45a3-90f8-e64bcfc1fa99 · outbound

This paper cites Mizutani, Z.

Decay estimates for the two-dimensional Beam equation with potentials Mizutani, Z

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:22.380062Z

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Observation 0d9105df-a8c2-4c72-b401-5c7087fa2b34 · outbound

This paper cites Moulin,High frequency dispersive estimates in dimension two, Ann.

Decay estimates for the two-dimensional Beam equation with potentials Moulin,High frequency dispersive estimates in dimension two, Ann

Reference 43

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Observation 8377c78c-7c2a-485a-bcce-4d0fb2fccec7 · outbound

This paper cites Schlag,Dispersive estimates for Schr¨ odinger operators in dimension two, Comm.

Decay estimates for the two-dimensional Beam equation with potentials Schlag,Dispersive estimates for Schr¨ odinger operators in dimension two, Comm

Reference 44

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Observation 0f603c27-f025-4078-bca4-304fcf5d1d8e · outbound

This paper cites Simon,On positive eigenvalues of one-body Schr¨ odinger operators, Comm.

Decay estimates for the two-dimensional Beam equation with potentials Simon,On positive eigenvalues of one-body Schr¨ odinger operators, Comm

Reference 45

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Observation a5d871db-a095-4b22-b2cb-8fc3173ddbc4 · outbound

This paper cites Soffer, Z.

Decay estimates for the two-dimensional Beam equation with potentials Soffer, Z

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:22.985075Z

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Observation a669cd31-6b15-484b-a324-0654a9d9414a · outbound

This paper cites an unresolved cited work.

Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:23.146666Z

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Observation a819a3ea-dd35-42ab-b259-f4bc532416f8 · outbound

This paper cites Strauss,Nonlinear Wave Equations, CBMS Reg.

Decay estimates for the two-dimensional Beam equation with potentials Strauss,Nonlinear Wave Equations, CBMS Reg

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:23.298146Z

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Observation 5ef960e4-9371-4dbf-9036-e2ae6eae300c · outbound

This paper cites an unresolved cited work.

Decay estimates for the two-dimensional Beam equation with potentials Unresolved cited work

Reference 1964

Resolution: unresolved; no resolver link, observed 2026-08-02T11:19:16.979239Z

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