A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space.

zbMath1036.35143MaRDI QIDQ1413595

Ryo Ikehata

Publication date: 17 November 2003

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

mixed problemsmall initial datadecay estimate

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (9)

Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations ⋮ Global existence of solutions for semilinear damped wave equation in 2-D exterior domain ⋮ The point-wise estimates for the solution of damped wave equation with nonlinear convection in multi-dimensional space ⋮ Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method ⋮ Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball ⋮ Nonexistence of global solutions for a time-fractional damped wave equation in a \(k\)-times halved space ⋮ Critical exponent for semilinear damped wave equations in the \(N\)-dimensional half space. ⋮ The pointwise estimates of solutions for semilinear dissipative wave equation in multi-dimensions ⋮ An efficient numerical simulation of the two-dimensional semilinear wave equation

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