Critical exponent for semilinear damped wave equations in the \(N\)-dimensional half space.

DOI10.1016/j.jmaa.2003.09.029zbMath1061.35052OpenAlexW1990106735MaRDI QIDQ1419751

Ryo Ikehata

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.029

zbMATH Keywords

Fast decayWeighted initial data

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70)

Related Items (9)

A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain ⋮ Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method ⋮ Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data ⋮ Critical Fujita exponent for the porous medium equation in \(\mathbb{R}^N\) with hole ⋮ Nonexistence of global solutions for a time-fractional damped wave equation in a \(k\)-times halved space ⋮ Critical Fujita exponents for a class of nonlinear convection-diffusion equations ⋮ Decay character and estimates for the damped wave equation ⋮ Existence and nonexistence of time-global solutions to damped wave equation on half-line ⋮ Decay estimates for the damped wave equation with weighted odd initial data

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