Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Determination of the blow-up rate for the semilinear wave equation - MaRDI portal

Determination of the blow-up rate for the semilinear wave equation

From MaRDI portal
Publication:4461888

DOI10.1353/ajm.2003.0033zbMath1052.35043OpenAlexW2163597171MaRDI QIDQ4461888

Hatem Zaag, Frank Merle

Publication date: 18 May 2004

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1353/ajm.2003.0033




Related Items (50)

Discontinuous Galerkin method for blow-up solutions of nonlinear wave equationsTHE SET OF CONCENTRATION FOR SOME HYPERBOLIC MODELS OF CHEMOTAXISDynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensionsLYAPUNOV FUNCTIONAL AND BLOW-UP RESULTS FOR A CLASS OF PERTURBATIONS OF SEMILINEAR WAVE EQUATIONS IN THE CRITICAL CASEOn blowup in supercritical wave equationsGlobal existence for solutions of the focusing wave equation with the compactness propertyScattering for defocusing energy subcritical nonlinear wave equationsNonscattering solutions and blowup at infinity for the critical wave equationBlow-up behavior for the Klein-Gordon and other perturbed semilinear wave equationsScattering for radial, semi-linear, super-critical wave equations with bounded critical normStable blowup for wave equations in odd space dimensionsStrichartz estimates and blowup stability for energy critical nonlinear wave equationsBlowup stability at optimal regularity for the critical wave equationAsymptotics and analytic modes for the wave equation in similarity coordinatesGlobal well-posedness for the radial, defocusing, nonlinear wave equation for 3 < p < 5Classification of the blow-up behavior for a semilinear wave equation with nonconstant degenerate coefficientsStability and instability of radial standing waves to NLKG equation with an inverse-square potentialHyperbolic quenching problem with damping in the micro-electro mechanical system deviceBlowup behaviour for the nonlinear Klein-Gordon equationBlowup behavior for strongly perturbed wave equationsStable blowup for the cubic wave equation in higher dimensionsStable self-similar blowup in energy supercritical Yang-Mills theoryThe blow-up rate for strongly perturbed semilinear wave equationsThe blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensionsExistence and universality of the blow-up profile for the semilinear wave equation in one space dimensionStable blow up dynamics for energy supercritical wave equationsType II Blow up Manifolds for the Energy Supercritical Semilinear Wave EquationOpenness of the set of non-characteristic points and regularity of the blow-up curve for the 1 D semilinear wave equationNonlinear Stability of Self-Similar Solutions for Semilinear Wave EquationsBlow-up behavior outside the origin for a semilinear wave equation in the radial caseDetermination of the blow-up rate for a critical semilinear wave equationDetermination of the curvature of the blow-up set and refined singular behavior for a semilinear heat equationNonlinear profile decomposition for the \(\dot{H}^{\frac{1}{2}} \times \dot{H}^{- \frac{1}{2}}(\mathbb{R}^d)\) energy subcritical wave equationStrong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equationsThe blow-up rate for a non-scaling invariant semilinear wave equationsGlobal well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equationOn the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equationsSlow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equationStable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearitiesThe blow-up rate for strongly perturbed semilinear wave equations in the conformal regime without a radial assumptionSolution to the semilinear wave equation with a pyramid-shaped blow-up surfaceStrongly anisotropic type II blow up at an isolated pointSPECTRAL PROPERTIES AND LINEAR STABILITY OF SELF-SIMILAR WAVE MAPSRefined regularity for the blow-up set at non characteristic points for the vector-valued semilinear wave equationThe radial wave operator in similarity coordinatesBlow-up profile for the complex-valued semilinear wave equationStable blowup for the focusing energy critical nonlinear wave equation under random perturbationsThe Concentration-Compactness Rigidity Method for Critical Dispersive and Wave EquationsThe blow-up rate for strongly perturbed semilinear wave equations in the conformal caseA modulation technique for the blow-up profile of the vector-valued semilinear wave equation




This page was built for publication: Determination of the blow-up rate for the semilinear wave equation