Blow up for the wave equation with a nonlinear dissipation of cubic convolution type in \(\mathbb R^N\)

DOI10.1016/S0096-3003(02)00936-0zbMath1048.45005MaRDI QIDQ1421274

Nasser-eddine Tatar

Publication date: 26 January 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Blow upCubic convolutionNonlocal dissipationSingular kernel

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Singular nonlinear integral equations (45G05)

Related Items (1)

Blow up for a Cauchy viscoelastic problem with a nonlinear dissipation of cubic convolution type

Cites Work

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• On the Cauchy problem for the nonlinear Klein-Gordon equation with a cubic convolution
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Global nonexistence theorems for a class of evolution equations with dissipation
• On energy decay-nondecay problems for wave equations with nonlinear dissipative term in \(\mathbb{R}^ N\)
• ON THE WAVE EQUATION WITH A DISSIPATION AND A SOURCE OF CUBIC CONVOLUTION TYPE IN ℝN
• Some non-linear evolution equations

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