On the pseudo-parabolic regularization of the generalized Korteweg-de Vries equation

zbMath0452.35066MaRDI QIDQ1148467

Tadayasu Takahashi

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

zbMATH Keywords

generalized Korteweg-de Vries equationpseudo-parabolic equationsemilinear evolution equationsnonlinear grouplong wave equationperiodic initial-value problem

Mathematics Subject Classification ID

Applications of manifolds of mappings to the sciences (58D30) Partial differential equations of mathematical physics and other areas of application (35Q99) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Equations in function spaces; evolution equations (58D25)

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Semilinear Hille-Yosida theory: The approximation theorem and groups of operators

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