Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on $\mathbb{R}^{3}$
From MaRDI portal
Publication:4635080
zbMath1395.35042arXiv1506.00788MaRDI QIDQ4635080
Tristan Roy, Thomas Duyckaerts
Publication date: 13 April 2018
Full work available at URL: https://arxiv.org/abs/1506.00788
Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (8)
Scattering for defocusing energy subcritical nonlinear wave equations ⋮ Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases ⋮ Scattering theory for the subcritical wave equation with inverse square potential ⋮ Global solutions with asymptotic self-similar behaviour for the cubic wave equation ⋮ Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions ⋮ Global existence of solutions of a loglog energy-supercritical Klein-Gordon equation ⋮ Conditional stable soliton resolution for a semi-linear Skyrme equation ⋮ Scattering to a stationary solution for the superquintic radial wave equation outside an obstacle
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blow-up of critical Besov norms at a potential Navier-Stokes singularity
- On blowup in supercritical wave equations
- Some results on scattering for log-subcritical and log-supercritical nonlinear wave equations
- A certain necessary condition of potential blow up for Navier-Stokes equations
- Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation
- An alternative approach to regularity for the Navier-Stokes equations in critical spaces
- Scattering above energy norm of solutions of a loglog energy-supercritical Schrödinger equation with radial data
- Radial solutions to energy supercritical wave equations in odd dimensions
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm
- Global existence of smooth solutions of a 3D log-log energy-supercritical wave equation
- On existence and scattering with minimal regularity for semilinear wave equations
- Generalized Strichartz inequalities for the wave equation
- Profiles of bounded radial solutions of the focusing, energy-critical wave equation
- A profile decomposition approach to the \(L^\infty _t(L^{3}_x)\) Navier-Stokes regularity criterion
- Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation
- Classification of the radial solutions of the focusing, energy-critical wave equation
- On the energy subcritical, nonlinear wave equation in \(\mathbb{R}^3\) with radial data
- Scattering for Radial, Bounded Solutions of Focusing Supercritical Wave Equations
- Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications
- GLOBAL REGULARITY FOR A LOGARITHMICALLY SUPERCRITICAL DEFOCUSING NONLINEAR WAVE EQUATION FOR SPHERICALLY SYMMETRIC DATA
- Blow up of the critical norm for some radial <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> super critical nonlinear Schrödinger equations
- Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions
- Energy-Supercritical NLS: Critical[Hdots-Bounds Imply Scattering]
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- The defocusing energy-supercritical nonlinear wave equation in three space dimensions
- Stable blow up dynamics for energy supercritical wave equations
This page was built for publication: Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on $\mathbb{R}^{3}$
