On periodic solutions of a semilinear hyperbolic parabolic equation

DOI10.1017/S0004972700011874zbMath0776.35035OpenAlexW1977452385MaRDI QIDQ3993950

Hisako Kato, Mitsuhiro Nakao

Publication date: 13 August 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700011874

zbMATH Keywords

regularityweak solutionperiodic solutionsenergy methoduniquenessdissipationsemilinear dissipative wave equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

• Unnamed Item
• Time periodic smooth solutions of hyperbolic quasi-linear equations with dissipation term and their approximation by parabolic equations
• Bounded, periodic or almost-periodic solutions of nonlinear hyperbolic partial differential equations
• The existence of a global classical solution of the initial boundary value problem for \(\square u+u^ 3 = f\)
• Klassische Lösungen nichtlinearer Wellengleichungen im Großen
• Periodic solutions of nonlinear wave-equations with a dissipative term
• Global existence of classical solutions to the initial-boundary value problem of the semilinear wave equations with a degenerate dissipative term
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Existence Theorems for Some Non-Linear Equations of Evolution

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