Global existence and blow-up for semilinear wave equations with variable coefficients

DOI10.1007/s11401-018-0087-3zbMath1415.35204OpenAlexW2896765906WikidataQ129089813 ScholiaQ129089813MaRDI QIDQ1624090

Han Yang, Qian Lei

Publication date: 15 November 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-0087-3

zbMATH Keywords

energy decayinitial data with compact support$L^2$ and $L^{p+1}$ estimates

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (5)

Blow-up and lifespan estimates of solutions to semilinear Moore-Gibson-Thompson equations ⋮ Lifespan estimates of solutions to quasilinear wave equations with damping and negative mass term ⋮ Study of nonlinear wave equation with singular data by using generalized fixed point ⋮ Blow-up of solutions for the Moore-Gibson-Thompson equations on exterior domain in two dimensions. ⋮ Regular generalized solutions to semilinear wave equations

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