Solutions with prescribed local blow-up surface for the nonlinear wave equation
From MaRDI portal
Publication:2279826
DOI10.1515/ans-2019-2059zbMath1437.35494arXiv1904.03893OpenAlexW3105316758MaRDI QIDQ2279826
Yvan Martel, Lifeng Zhao, Thierry Cazenave
Publication date: 16 December 2019
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.03893
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (2)
Local well-posedness and finite time blowup for fourth-order Schrödinger equation with complex coefficient ⋮ \(H^2\) blowup result for a Schrödinger equation with nonlinear source term
Cites Work
- Unnamed Item
- Unnamed Item
- Control of blow-up singularities for nonlinear wave equations
- Stable self-similar blow up for energy subcritical wave equations
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- The global Cauchy problem for the nonlinear Klein-Gordon equation
- Fuchsian reduction. Applications to geometry, cosmology and mathematical physics
- The global Cauchy problem for the nonlinear Klein-Gordon equation. II
- Semigroups of linear operators and applications to partial differential equations
- Differentiability of the blow-up curve for one dimensional nonlinear wave equations
- On uniqueness for semilinear wave equations
- Finite-time blowup for a Schrödinger equation with nonlinear source term
- The global Cauchy problem for the critical nonlinear wave equation
- Blowup for nonlinear hyperbolic equations
- Fuchsian equations in Sobolev spaces and blow-up
- Solutions blowing up on any given compact set for the energy subcritical wave equation
- On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations
- Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions
- On solutions of nonlinear wave equations
- Blow-up for solutions of □u=|u|pwith small initial data.
- The Blow-Up Boundary for Nonlinear Wave Equations
- Blow-up Surfaces for Nonlinear Wave Equations, I
- Endpoint Strichartz estimates
- Blow-up surfaces for nonlinear wave equations, II
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- The blow-up problem for exponential nonlinearities
- A Multivariate Faa di Bruno Formula with Applications
- The defocusing energy-supercritical nonlinear wave equation in three space dimensions
This page was built for publication: Solutions with prescribed local blow-up surface for the nonlinear wave equation
