Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:46:13.371209Z
Paper Citation Record · LEDGER
Dynamics of Bubbling Wave Maps with Prescribed Radiation
As of 16 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:1908.08512.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
45 of 45 outbound references displayed
- verified exact0
- verified fuzzy33
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 094bf05b-c985-49a3-b039-be765f9c7ea1 · outbound
This paper cites Hyperboloidal similarity coor- dinates and a globally stable blowup profile for supercritic al wave maps.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Hyperboloidal similarity coor- dinates and a globally stable blowup profile for supercritic al wave maps
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:14.012756Z
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.
Observation e018a228-a375-47cc-8420-f7f30159bf96 · outbound
This paper cites Bourgain and W.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Bourgain and W
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:14.000609Z
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.
Observation 9055b6b5-2570-45aa-9aae-247694fbd77c · outbound
This paper cites an unresolved cited work.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:46:13.989240Z
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.
Observation a1170f44-177d-46cd-9c45-6dc19995466a · outbound
This paper cites Characterization of large energy solutions of the equivariant wave map problem: I.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Characterization of large energy solutions of the equivariant wave map problem: I
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.976369Z
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.
Observation 52e60d49-647d-41e8-8189-ce02200281ec · outbound
This paper cites Universality of blow up profile for small blow up solutions to the energy critical wave map eq uation.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Universality of blow up profile for small blow up solutions to the energy critical wave map eq uation
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.964665Z
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.
Observation e17d2242-bc42-46c3-bfde-b311e9f994d9 · outbound
This paper cites Optimal polynomial blow up r ange for critical wave maps.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Optimal polynomial blow up r ange for critical wave maps
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.952835Z
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.
Observation 8622fe17-2bdc-4b66-a9da-fb59137e0337 · outbound
This paper cites Grillakis.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Grillakis
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.940392Z
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.
Observation a0a5d2b5-e6ef-47d9-b752-2ad88facb469 · outbound
This paper cites an unresolved cited work.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:46:13.928038Z
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.
Observation 1f10c97e-ff17-4963-9f18-9293a8c04098 · outbound
This paper cites an unresolved cited work.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:46:13.913480Z
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.
Observation 6d9fcab0-d41c-48be-816f-252f6e912f37 · outbound
This paper cites an unresolved cited work.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:46:13.900291Z
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.
Observation c7738346-af89-418e-81df-1d63037f5a60 · outbound
This paper cites Dynamics of strongly interacting unsta ble two-solitons for generalized korteweg-de vries equations.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Dynamics of strongly interacting unsta ble two-solitons for generalized korteweg-de vries equations
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.884620Z
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.
Observation 1dbb4efd-3599-42ca-9d68-d5de6944a262 · outbound
This paper cites Construction of two-bubble solutions for energy-critical wave equations.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Construction of two-bubble solutions for energy-critical wave equations
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.869182Z
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.
Observation f8028775-d755-49f0-8fc3-0719b3712265 · outbound
This paper cites Two-bubble dynamics f or threshold solutions to the wave maps equation.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Two-bubble dynamics f or threshold solutions to the wave maps equation
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.855139Z
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.
Observation 1e7e4d6b-0706-437c-8556-c7ccb933094a · outbound
This paper cites Asymptotic decomposition for semilinear wave and equivariant wave map equations.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Asymptotic decomposition for semilinear wave and equivariant wave map equations
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.841261Z
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.
Observation 502b809c-bae4-4fbb-9ccb-4a93fd04abaa · outbound
This paper cites Krieger, W.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Krieger, W
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.826820Z
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.
Observation c80e5c96-bb78-4911-84cd-673e73a6bd9d · outbound
This paper cites On stability of blow up solutions for the critical co- rotational wave maps problem.
Dynamics of Bubbling Wave Maps with Prescribed Radiation On stability of blow up solutions for the critical co- rotational wave maps problem
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.808232Z
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.
Observation cee5a5f0-e2aa-4b7e-8103-8082986dbe30 · outbound
This paper cites Manton and P.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Manton and P
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:46:13.246465Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 96e78e89-3ecc-49ef-a01d-a030d034830b · outbound
This paper cites an unresolved cited work.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:46:13.785442Z
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.
Observation 5c600981-1ab2-4a21-b9b9-0b5eb8f80520 · outbound
This paper cites Martel, F.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Martel, F
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.772568Z
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.
Observation b0f7cfe9-7f0c-483a-adaa-0a52c6420fcb · outbound
This paper cites Martel, F.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Martel, F
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.759149Z
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.
Observation 629c978f-095c-4900-b183-370c53d9c9ad · outbound
This paper cites Martel, F.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Martel, F
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.745918Z
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.
Observation dab7c563-076e-4dbe-9944-90410def07a3 · outbound
This paper cites Blow up and near soliton dynamics for the L2 critical gKdV equation.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Blow up and near soliton dynamics for the L2 critical gKdV equation
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.732745Z
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.
Observation a2ed8624-56e2-4cdc-9176-6503adb48914 · outbound
This paper cites an unresolved cited work.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:46:13.718478Z
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.
Observation f336b449-c0b7-44c5-bbd6-09204a717f82 · outbound
This paper cites Blow up for the critical generalized Korteweg– de Vries equation.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Blow up for the critical generalized Korteweg– de Vries equation
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.705627Z
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.
Observation ceee7f49-e6b1-4bd7-96a9-fa875fa0ef11 · outbound
This paper cites Blow up for the critical gKdV equation.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Blow up for the critical gKdV equation
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.691479Z
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.
Observation 56062c91-c668-41ff-b688-6690f781cd75 · outbound
This paper cites Blow up for the critical gKdV equation III: exotic regimes.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Blow up for the critical gKdV equation III: exotic regimes
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.676789Z
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.
Observation 5eaacbc9-3805-4721-ba56-a31fa9154d68 · outbound
This paper cites an unresolved cited work.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:46:13.663577Z
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.
Observation 4bbe6042-d55c-444f-aa8a-5ef087342506 · outbound
This paper cites an unresolved cited work.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Unresolved cited work
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:46:13.290764Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7ed97a5c-449a-4762-93da-d12157399a00 · outbound
This paper cites Merle and P.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Merle and P
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.640026Z
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.
Observation 42abe450-9791-4110-b18e-5231644d6136 · outbound
This paper cites Merle and P.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Merle and P
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.626772Z
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.
Observation 05c94171-c11b-47ab-b005-616ce88776ce · outbound
This paper cites Merle, P.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Merle, P
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.613248Z
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.
Observation 01a8a28b-ecf2-4064-803d-2dba652f00a9 · outbound
This paper cites On universality of blow -up profile for L2 critical nonlinear Schr¨ odinger equation.Invent.
Dynamics of Bubbling Wave Maps with Prescribed Radiation On universality of blow -up profile for L2 critical nonlinear Schr¨ odinger equation.Invent
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.598937Z
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.
Observation 5498c318-9f26-49f8-bb28-212575a09e24 · outbound
This paper cites The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schr¨ odinger equation.Ann.
Dynamics of Bubbling Wave Maps with Prescribed Radiation The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schr¨ odinger equation.Ann
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.585122Z
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.
Observation d1cda535-210f-4c07-94a6-605dfd911938 · outbound
This paper cites Profiles and quantizati on of the blow up mass for critical nonlinear Schr¨ odinger equation.Comm.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Profiles and quantizati on of the blow up mass for critical nonlinear Schr¨ odinger equation.Comm
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.570488Z
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.
Observation 12025a94-2514-42a1-9769-03bfebd619b9 · outbound
This paper cites On a sharp lower bound on the blow-up rate for the L2 critical nonlinear Schr¨ odinger equation.J.
Dynamics of Bubbling Wave Maps with Prescribed Radiation On a sharp lower bound on the blow-up rate for the L2 critical nonlinear Schr¨ odinger equation.J
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.555602Z
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.
Observation 3a429d97-dd97-4e68-b067-2ce93dc3de48 · outbound
This paper cites Rapha¨ el and I.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Rapha¨ el and I
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.540995Z
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.
Observation 2f18e794-9aa9-40aa-affc-d8f65329b0ac · outbound
This paper cites Rapha¨ el and J.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Rapha¨ el and J
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.527626Z
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.
Observation df73d9dc-1796-4e47-b122-ee852fc04086 · outbound
This paper cites Rodnianski and J.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Rodnianski and J
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.512921Z
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.
Observation 2add3d54-9be2-4300-8959-891f4399e97c · outbound
This paper cites Threshold dynamics for corotational wave maps.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Threshold dynamics for corotational wave maps
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.498160Z
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.
Observation 0757b0ce-1101-4638-97aa-537d09105406 · outbound
This paper cites Shatah and M.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Shatah and M
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:46:13.348073Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6fc42649-63fb-4f04-b583-6c2bbba1a7f0 · outbound
This paper cites Shatah and A.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Shatah and A
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.468908Z
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.
Observation 6e90f623-0cfb-4875-86d7-36767665f914 · outbound
This paper cites an unresolved cited work.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:46:13.454957Z
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.
Observation dc01b435-cd39-493a-b43b-9e5037257a9e · outbound
This paper cites Uniqueness for critical nonlinear wav e equations and wave maps via the energy inequality.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Uniqueness for critical nonlinear wav e equations and wave maps via the energy inequality
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.440172Z
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.
Observation 5256b8a8-ca57-4e5c-a27d-a76a24104586 · outbound
This paper cites Reverse bubbling and nonuniqueness in t he harmonic map flow.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Reverse bubbling and nonuniqueness in t he harmonic map flow
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:46:13.425358Z
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.
Observation e530545a-727d-49d1-a8e7-4a0b9f81362f · outbound
This paper cites an unresolved cited work.
Dynamics of Bubbling Wave Maps with Prescribed Radiation Unresolved cited work
Reference 45
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:46:13.409482Z
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.
Pith citing papers
No inbound Pith citation observations are available.