Openness of the set of non-characteristic points and regularity of the blow-up curve for the 1 D semilinear wave equation

From MaRDI portal
Publication:956636

DOI10.1007/s00220-008-0532-3zbMath1159.35046OpenAlexW2050579318MaRDI QIDQ956636

Hatem Zaag, Frank Merle

Publication date: 25 November 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-008-0532-3




Related Items

Convergence of a blow-up curve for a semilinear wave equationDynamics 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 equationsBlow-up behavior for the Klein-Gordon and other perturbed semilinear wave equationsOn the computation for blow-up solutions of the nonlinear wave equationIsolatedness of characteristic points at blowup for a 1-dimensional semilinear wave equationStable blowup for wave equations in odd space dimensionsOn the profile of energy concentration at blow-up points for subconformal focusing nonlinear wavesStrichartz estimates and blowup stability for energy critical nonlinear wave equationsPrescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equationBlowup stability at optimal regularity for the critical wave equationGlobal solutions with asymptotic self-similar behaviour for the cubic wave equationAsymptotics and analytic modes for the wave equation in similarity coordinatesClassification of the blow-up behavior for a semilinear wave equation with nonconstant degenerate coefficientsBlowup behavior for strongly perturbed wave equationsStable blowup for the cubic wave equation in higher dimensionsThe 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 equationsGlobal existence and blowing up of solutions for some non-linear 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 equationA Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-upNonlinear Stability of Self-Similar Solutions for Semilinear Wave EquationsBlow-up behavior outside the origin for a semilinear wave equation in the radial caseThe blow-up rate for a non-scaling invariant semilinear wave equationsOn the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equationsThe blow-up rate for strongly perturbed semilinear wave equations in the conformal regime without a radial assumptionA simplified proof of a Liouville theorem for nonnegative solution of a subcritical semilinear heat equationsSolution to the semilinear wave equation with a pyramid-shaped blow-up surfaceSelf-similar solutions of focusing semi-linear wave equations in \(\mathbb{R}^N\)Refined regularity for the blow-up set at non characteristic points for the vector-valued semilinear wave equationConstruction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space DimensionBlow-up profile for the complex-valued semilinear wave equationThe 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



Cites Work