Small data global existence for the semilinear wave equation with space-time dependent damping
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Publication:432335
DOI10.1016/j.jmaa.2012.03.035zbMath1246.35133arXiv1202.5379OpenAlexW1992684040MaRDI QIDQ432335
Publication date: 4 July 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.5379
Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
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Global existence and blow-up for semilinear wave equations with variable coefficients ⋮ Lifespan of solutions to the damped wave equation with a critical nonlinearity ⋮ Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients ⋮ Blow-up and lifespan estimate for wave equations with critical damping term of space-dependent type related to Glassey conjecture ⋮ Blow-up of solutions to the one-dimensional semilinear wave equation with damping depending on time and space variables ⋮ Critical exponent for the semilinear wave equations with a damping increasing in the far field ⋮ A shift in the strauss exponent for semilinear wave equations with a not effective damping ⋮ Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data ⋮ Remark on the blow-up of solutions for the semilinear wave equation with overdamping term ⋮ A note on the lifespan of solutions to the semilinear damped wave equation ⋮ A reaction-diffusion approximation of a semilinear wave equation with damping
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