Global existence of solutions for a system of nonlinear damped wave equations.

zbMath1240.35339MaRDI QIDQ636912

Hiroshi Takeda, Takayoshi Ogawa

Publication date: 1 September 2011

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

zbMATH Keywords

global solutioninitial value problemsmall initial datasemilinear damped wave system

Mathematics Subject Classification ID

Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (11)

Global existence to the initial-boundary value problem for a system of semilinear wave equations ⋮ The Cauchy problem for the nonlinear damped wave equation with slowly decaying data ⋮ Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part ⋮ Global Small data Solutions for a system of semilinear heat equations and the corresponding system of damped wave equations with nonlinear memory ⋮ Large time behavior of solutions for a nonlinear damped wave equation ⋮ Asymptotic behavior of solutions for a system of semilinear heat equations and the corresponding damped wave system ⋮ Large time behavior of solutions for a system of nonlinear damped wave equations ⋮ Critical exponent for the Cauchy problem to the weakly coupled damped wave system ⋮ On the nonexistence of global solutions for wave equations with double damping terms and nonlinear memory ⋮ Remark on a weakly coupled system of nonlinear damped wave equations ⋮ Global existence of solutions for a weakly coupled system of semilinear damped wave equations

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