On some nonlinear evolution equations with strong dissipation. III

DOI10.1016/0022-0396(82)90032-8zbMath0458.35066OpenAlexW4213089146MaRDI QIDQ1151523

Yukiyoshi Ebihara

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90032-8

zbMATH Keywords

Sobolev spacesstrong dissipationclassical solutionsnonlinear evolution equationsenergy spacesbalanceexistence theoriessmall energy techniques

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Initial value problems for linear higher-order PDEs (35G10) Higher-order nonlinear hyperbolic equations (35L75) Higher-order parabolic equations (35K25)

Related Items

Existence and non-existence of global solutions to initial boundary value problems for nonlinear evolution equations with strong dissipation, The study of a mixed problem for one class of third order differential equations, Smoothness of bounded solutions of nonlinear evolution equations, Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model

Cites Work

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• Sur les problèmes de Cauchy hyperboliques bien posés
• Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
• On solutions of semilinear wave equations
• On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)