Blow-up for semilinear wave equations with slowly decaying data in high dimensions

zbMath0848.35017MaRDI QIDQ1343206

Hiroyuki Takamura

Publication date: 1 February 1995

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

zbMATH Keywords

semilinear wave equationsblow up timeinitial data with noncompact support

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)

Related Items (13)

Blow-up for semilinear wave equations in four or five space dimensions ⋮ Blow-up and lifespan estimate for wave equations with critical damping term of space-dependent type related to Glassey conjecture ⋮ Lifespan estimates for a special quasilinear time-dependent damped wave equation ⋮ Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data ⋮ Initial value problem of semilinear wave equations in three space dimensions ⋮ Slowly decaying solutions for semilinear wave equations in odd space dimensions ⋮ Blow-up theorem for semilinear wave equations with non-zero initial position ⋮ Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrödinger equations ⋮ On the critical decay for the wave equation with a cubic convolution in 3D ⋮ Fujita modified exponent for scale invariant damped semilinear wave equations ⋮ A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions ⋮ Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential ⋮ Blow-up of solutions to semilinear wave equations with non-zero initial data

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