Equations of Korteweg-de Vries type in classes of increasing functions

DOI10.1007/BF01094991zbMath0709.35088MaRDI QIDQ921267

I. N. Bondareva, Mikhail A. Shubin

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemsolvabilityKorteweg-de Vries equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items

Spatial asymptotic expansions in the incompressible Euler equation, Groups of asymptotic diffeomorphisms, Entire extensions and exponential decay for semilinear elliptic equations, Asymptotics of the Gurevich-Pitaevskii universal special solution of the Korteweg-de Vries equation as \(|x|\to\infty\), Solutions of mKdV in classes of functions unbounded at infinity, Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients, Asymptotics in shallow water waves

Cites Work

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• Uniqueness of the solution of the Cauchy problem for the Korteweg-de Vries equation in classes of increasing functions
• Increasing solutions of the Korteweg-de Vries equation with given asymptotic behaviour
• The existence of unbounded solutions of the korteweg‐de vries equation