Sharp existence results for self-similar solutions of semilinear wave equations

DOI10.1007/PL00001428zbMath0967.35099MaRDI QIDQ1592412

Hartmut Pecher

Publication date: 30 August 2001

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

counterexamplesmall Cauchy data

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (7)

Self-similar solutions of semilinear wave equation with variable speed of propagation ⋮ Anomalous solutions to nonlinear hyperbolic equations ⋮ The self-similar solutions of the one-dimensional semilinear Tricomi-type equations ⋮ Global existence for the one-dimensional second order semilinear hyperbolic equations ⋮ Global well-posedness and self-similarity for semilinear wave equations in a time-weighted framework of Besov type ⋮ Asymptotically self-similar global solutions for a higher-order semilinear parabolic equation ⋮ On self-similar solutions of semilinear wave equations in higher space dimensions

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