Global solutions and self-similar solutions of semilinear wave equation

DOI10.1007/s002090100293zbMath1005.35068OpenAlexW2025628696MaRDI QIDQ1601830

Abdellah Youssfi, Francis Ribaud

Publication date: 27 June 2002

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

Full work available at URL: https://doi.org/10.1007/s002090100293

zbMATH Keywords

energy estimates

Mathematics Subject Classification ID

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

Related Items (17)

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 ⋮ Hardy inequalities and dynamic instability of singular Yamabe metrics ⋮ 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 ⋮ Different asymptotic behavior of global solutions for a parabolic system with nonlinear gradient terms ⋮ Global solutions and self-similar solutions for nonlinear beam equations ⋮ Asymptotically self-similar global solutions for a higher-order semilinear parabolic equation ⋮ Self-similar solutions to a generalized Davey-Stewartson system ⋮ On self-similar solutions of semilinear wave equations in higher space dimensions ⋮ BOUNDEDNESS OF THE MAPPING f → |f|^μ, 0 < μ < 1, ON THE POSITIVE CONE OF BESOV SPACES ⋮ 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 Existence for then-Dimensional Semilinear Tricomi-Type Equations

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