Asymptotic behavior of solutions for a system of semilinear heat equations and the corresponding damped wave system
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Publication:436047
zbMath1252.35070MaRDI QIDQ436047
Publication date: 28 July 2012
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ojm/1340197929
Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic systems (35K45) Semilinear parabolic equations (35K58) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)
Related Items (12)
Blow-up of solutions to Nakao's problem via an iteration argument ⋮ Global and non global solutions for a class of coupled parabolic systems ⋮ 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 ⋮ Large time behavior of solutions for a nonlinear damped wave equation ⋮ Asymptotics for a class of coupled fractional heat equations ⋮ Critical exponent for the Cauchy problem to the weakly coupled damped wave system ⋮ Asymptotic expansion of solutions to the nonlinear dissipative equation with the anomalous diffusion ⋮ Global existence of solutions for a weakly coupled system of semilinear damped wave equations ⋮ Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime ⋮ A note on a weakly coupled system of structurally damped waves ⋮ EXISTENCE AND NON-EXISTENCE OF GLOBAL SOLUTIONS FOR THE SEMILINEAR COMPLEX GINZBURG-LANDAU TYPE EQUATION IN HOMOGENEOUS AND ISOTROPIC SPACETIME
Cites Work
- Unnamed Item
- Unnamed Item
- Global existence of solutions for a system of nonlinear damped wave equations.
- Large time behavior of solutions for a system of nonlinear damped wave equations
- Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping
- Global existence and nonexistence of solutions for a system of nonlinear damped wave equations
- Existence and non-existence of global solutions for a semilinear heat equation
- Boundedness and blow up for a semilinear reaction-diffusion system
- Liouville theorems and blow up behaviour in semilinear reaction diffusion systems
- The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
- \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
- Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations
- \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
- Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
- Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations
- Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption
- Blow up, global existence and growth rate estimates in nonlinear parabolic systems
- Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
- On nonexistence of global solutions of some semilinear parabolic differential equations
- Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems
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