Existence and nonexistence of global solutions for a nonlinear wave equation

DOI10.11650/TWJM/1500405658zbMath1330.35264OpenAlexW2294391377MaRDI QIDQ981885

Shun-Tang Wu, Long-Yi Tsai

Publication date: 9 July 2010

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.tms.org.tw/index.php/TJM/article/download/433/319

zbMATH Keywords

wave equationblow-upglobal existencelife span

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence of solutions of dynamical problems in solid mechanics (74H20) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order nonlinear hyperbolic equations (35L75) Blow-up in context of PDEs (35B44)

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Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms ⋮ Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping ⋮ Blow-up of solutions to the fourth-order equation with variable-exponent nonlinear weak damping ⋮ Existence and non-existence of solutions for Timoshenko-type equations with variable exponents ⋮ Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models ⋮ Global existence and exponential decay for a viscoelastic Petrovsky system

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