Existence and blow-up of solutions for damped ave system with nonlinear memory

DOI10.1080/00036811.2014.995642zbMath1336.35221OpenAlexW1998867764WikidataQ58290762 ScholiaQ58290762MaRDI QIDQ3452461

Mohamed Berbiche

Publication date: 12 November 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.995642

zbMATH Keywords

power nonlinearitymemory kernelDuhamel's principlehyperbolic systems of second orderclassical damped wave equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) Blow-up in context of PDEs (35B44) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (4)

Blow-up result for a semilinear wave equation with a nonlinear memory term ⋮ A competition on blow-up for semilinear wave equations with scale-invariant damping and nonlinear memory term ⋮ Global Small data Solutions for a system of semilinear heat equations and the corresponding system of damped wave equations with nonlinear memory ⋮ Global existence and blow-up of solutions for a system of fractional wave equations

Cites Work

• Critical exponent for damped wave equations with nonlinear memory
• A nonlocal in time parabolic system whose Fujita critical exponent is not given by scaling
• 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
• Boundedness and blow up for a semilinear reaction-diffusion system
• On the asymptotic behavior of solutions of semi-linear wave equations
• 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
• Local and global existence of solutions to semilinear parabolic initial value problems
• Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
• Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations
• Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities
• \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
• On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term
• An equation whose Fujita critical exponent is not given by scaling
• A blow-up result for a nonlinear wave equation with damping: The critical case
• Global existence of solutions for damped wave equations with nonlinear memory
• Global existence of small solutions to a class of nonlinear evolution equations
• Critical exponent for a nonlinear wave equation with damping

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