Self-similar and asymptotically self-similar solutions of nonlinear wave equations

DOI10.1007/s002080050013zbMath0960.35067OpenAlexW2036572500MaRDI QIDQ1971678

Hartmut Pecher

Publication date: 10 May 2001

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050013

zbMATH Keywords

small dataglobal existence, uniqueness and asymptotic behavior

Mathematics Subject Classification ID

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

Related Items (13)

ASYMPTOTICALLY SELF-SIMILAR GLOBAL SOLUTIONS OF A DAMPED WAVE EQUATION ⋮ Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms ⋮ 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 ⋮ Global existence of the scalar field in de Sitter spacetime ⋮ Different asymptotic behavior of global solutions for a parabolic system with nonlinear gradient terms ⋮ On self-similar solutions of semilinear wave equations in higher space dimensions ⋮ The self-similar solution to some nonlinear integro-differential equations corresponding to fractional order time derivative ⋮ On the Cauchy Problem for the Generalized Korteweg-de Vries Equation ⋮ Global Solutions of Semilinear System of Klein-Gordon Equations in de Sitter Spacetime

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