Finite time blow-up of solutions for damped wave equation with nonlinear memory

zbMath1277.35069MaRDI QIDQ380699

Ali Hakem, Mohamed Berbiche

Publication date: 14 November 2013

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1364216231

zbMATH Keywords

local existencenonlinear mixed damping termtime nonlocal nonlinearity

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ Global Small data Solutions for a system of semilinear heat equations and the corresponding system of damped wave equations with nonlinear memory ⋮ On the nonexistence of global solutions for wave equations with double damping terms and nonlinear memory

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• Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\)

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