Global solutions to the Cauchy problem for a system of damped wave equations.

zbMath1249.35223MaRDI QIDQ417004

Takashi Narazaki

Publication date: 11 May 2012

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

zbMATH Keywords

Cauchy problemglobal solutionmodulation spacesystem of nonlinear damped wave equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (7)

The Cauchy problem for the nonlinear damped wave equation with slowly decaying data ⋮ \(L^p\)-\(L^q\) estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data ⋮ Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part ⋮ Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball ⋮ Large time behavior of solutions for a nonlinear damped wave equation ⋮ Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case ⋮ Global existence of solutions for a weakly coupled system of semilinear damped wave equations

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