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Some evolution equations with the quasi-linear strong dissipation

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Publication:1257157
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zbMath0405.35049MaRDI QIDQ1257157

Yukiyoshi Ebihara

Publication date: 1979

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)


zbMATH Keywords

DissipationAsymptotic StabilityInitial-Boundary Value ProblemsEvolution EquationsSemilinear Wave EquationsSmall Energy TechniquesSmooth Solutions


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)


Related Items (3)

Global existence and exponential stability of small solutions to nonlinear viscoelasticity ⋮ Periodic solutions to a one-dimensional strongly nonlinear wave equation with strong dissipation ⋮ A mixed problem for a class of equations of third order




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