Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-26T10:43:24.973644Z
Paper Citation Record · LEDGER
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation
As of 18 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2606.22282.
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 2026-08-18T06:34:40.430872+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
24 of 24 outbound references displayed
- verified exact7
- verified fuzzy0
- unresolved17
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3ad86fd0-3933-48c2-9b66-6d96a1c61f18 · outbound
This paper cites Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity and a scale-invariant damping.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity and a scale-invariant damping
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-07-04T08:59:42.712267Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a08ae62e-0b57-4fcf-877d-d65be645c6d9 · outbound
This paper cites Radial blow-up standing solutions for the semilinear wave equation.Calculus of Variations and Partial Differential Equations, 65:104, 2026.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Radial blow-up standing solutions for the semilinear wave equation.Calculus of Variations and Partial Differential Equations, 65:104, 2026
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 827f447e-64ce-41de-826a-ea83a402d992 · outbound
This paper cites Global solutions of nonlinear hyperbolic equations for small initial data.Communications on Pure and Applied Mathematics, 39(2):267–282, 1986.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Global solutions of nonlinear hyperbolic equations for small initial data.Communications on Pure and Applied Mathematics, 39(2):267–282, 1986
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 238a06b9-b5b6-4787-abf0-e6e09966a70f · outbound
This paper cites On blowup for the supercritical quadratic wave equation.Analysis & PDE, 17(2):617–680, 2024.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation On blowup for the supercritical quadratic wave equation.Analysis & PDE, 17(2):617–680, 2024
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cff2ee91-6988-49d9-9987-3736b8655323 · outbound
This paper cites Blowup stability of wave maps without symmetry.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Blowup stability of wave maps without symmetry
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T08:59:42.724340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 350fd10f-a111-41e6-beaf-4ed38b2855d1 · outbound
This paper cites Stable blowup for wave equations in odd space dimensions.Annales de l’Institut Henri Poincaré C, Analyse non linéaire, 34(5):1181–1213, 2017.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Stable blowup for wave equations in odd space dimensions.Annales de l’Institut Henri Poincaré C, Analyse non linéaire, 34(5):1181–1213, 2017
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1dfa7fc-e9ac-47ec-934e-c56f9f2c97cc · outbound
This paper cites Stable blowup for supercritical wave maps into perturbed spheres.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Stable blowup for supercritical wave maps into perturbed spheres
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T08:59:42.726425Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3d6981ae-8ae9-4ecd-94ff-5cefd58531ac · outbound
This paper cites Instabilities appearing in cosmological effective field theories: when and how?Nonlinearity, 36(9):4844–4861, 2023.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Instabilities appearing in cosmological effective field theories: when and how?Nonlinearity, 36(9):4844–4861, 2023
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3802ee36-6e02-4288-86cf-184626d8f826 · outbound
This paper cites Springer, New York, 2000.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Springer, New York, 2000
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9222c4e-ecba-49ad-b057-0c21ded2cdeb · outbound
This paper cites Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T08:59:42.718970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3a0726cd-2e42-4173-b972-1c3c1e801e10 · outbound
This paper cites Existence and stability of discretely self-similar blowup for a wave maps type equation.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Existence and stability of discretely self-similar blowup for a wave maps type equation
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T08:59:42.721724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 58fda796-3871-455d-a1d6-618e7edbb6da · outbound
This paper cites Stable Type I blow-up for the one-dimensional wave equation with time-derivative nonlinearity.arXiv preprint arXiv:2510.14815, 2025.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Stable Type I blow-up for the one-dimensional wave equation with time-derivative nonlinearity.arXiv preprint arXiv:2510.14815, 2025
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T08:59:42.723433Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9d8a9f07-3008-4c74-ace8-5d33ad3c912a · outbound
This paper cites New nonlinear instability for scalar fields.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation New nonlinear instability for scalar fields
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 913efba8-b3aa-481b-9de7-be8685e5d66c · outbound
This paper cites Small-data shock formation in solutions to 3D quasilinear wave equations: An overview.Journal of Hyperbolic Differential Equations, 13(1):1–105, 2016.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Small-data shock formation in solutions to 3D quasilinear wave equations: An overview.Journal of Hyperbolic Differential Equations, 13(1):1–105, 2016
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 791d8dc3-9a55-4f90-bd6c-e13fe2f629aa · outbound
This paper cites Blow-up of solutions of nonlinear wave equations in three space dimensions.Manuscripta Mathematica, 28:235– 268, 1979.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Blow-up of solutions of nonlinear wave equations in three space dimensions.Manuscripta Mathematica, 28:235– 268, 1979
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6c0539e9-4b7c-4f51-8037-24606f2d85bc · outbound
This paper cites Springer Berlin Heidelberg, 2013.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Springer Berlin Heidelberg, 2013
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55a9ecb3-d9d2-45a4-8738-e3dd37715e84 · outbound
This paper cites On self-similar blow up for the energy supercritical semilinear wave equation.Journal de l’Ecole polytechnique — Mathématiques, 11:1483–1542, 2024.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation On self-similar blow up for the energy supercritical semilinear wave equation.Journal de l’Ecole polytechnique — Mathématiques, 11:1483–1542, 2024
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2418cc06-4b56-4709-abe2-2c021b25846f · outbound
This paper cites The null condition and global existence to nonlinear wave equations.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation The null condition and global existence to nonlinear wave equations
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e147649-326d-47f8-b612-7d293f247183 · outbound
This paper cites arXiv preprint arXiv:2511.13504, 2025.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation arXiv preprint arXiv:2511.13504, 2025
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T08:59:42.713359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 54a0bea3-ce1a-492d-aff2-ffbac9057fe5 · outbound
This paper cites On blow up for the energy super critical defocusing nonlinear Schrödinger equations.Inventiones Mathematicae, 227(1):247–413, 2022.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation On blow up for the energy super critical defocusing nonlinear Schrödinger equations.Inventiones Mathematicae, 227(1):247–413, 2022
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e91c146-c54e-4cd4-82ba-f7d0ae2d70ba · outbound
This paper cites Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension.Journal of Functional Analysis, 253(1):43–121, 2007.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension.Journal of Functional Analysis, 253(1):43–121, 2007
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8af60e7-9383-4fe2-84c2-115f134e0c63 · outbound
This paper cites Blow-up behavior outside the origin for a semilinear wave equation in the radial case.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Blow-up behavior outside the origin for a semilinear wave equation in the radial case
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f7ce4d39-f511-4295-a9d6-44a78b82135f · outbound
This paper cites Stable blowup for focusing semilinear wave equations in all dimensions.Transactions of the American Mathematical Society, 377(7):4727–4778, 2024.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Stable blowup for focusing semilinear wave equations in all dimensions.Transactions of the American Mathematical Society, 377(7):4727–4778, 2024
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 500b464f-4356-4dac-881b-0e65ed7b9af2 · outbound
This paper cites Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities.Anal- ysis & PDE, 13(1):93–146, 2020.
Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities.Anal- ysis & PDE, 13(1):93–146, 2020
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T10:43:24.973644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.