Cauchy problem for the Korteweg-de Vries equation in the case of a nonsmooth unbounded initial function

DOI10.1134/S0001434608010136zbMath1156.35080MaRDI QIDQ948565

Andrei V. Faminskii

Publication date: 16 October 2008

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemBurgers equationBanach spaceKorteweg-de Vries equationBochner measurable mappinggas-dynamic problemline of weak discontinuity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

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• Cauchy problem for the Korteweg-de Vries equation and its generalizations
• Global solutions for the KdV equation with unbounded data
• On the influence of small dissipation on solutions of a hyperbolic system that have a weak discontinuity
• The existence of unbounded solutions of the korteweg‐de vries equation
• The effect of weak dissipation on the solution of the problem of shock-free compression of a planar gas layer

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