Mixed problems for the Korteweg-de Vries equation

DOI10.1070/SM1999v190n06ABEH000408zbMath0933.35167MaRDI QIDQ4719698

Andrei V. Faminskii

Publication date: 6 January 2000

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

a priori estimatesboundary potentialexistence of generalized solutions with nonregular boundary valuesnon-local wellposedness

Mathematics Subject Classification ID

Related Items (13)

THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE ⋮ KdV equation in domains with moving boundaries ⋮ Low regularity solutions of non-homogeneous boundary value problems of a higher order Boussinesq equation in a quarter plane ⋮ Nonhomogeneous boundary value problems for the Korteweg-de Vries equation on a bounded domain ⋮ Boundary stabilization of the Korteweg-de Vries equation and the Korteweg-de Vries-Burgers equation ⋮ On solution of the integrable initial boundary value problem for KdV equation on the semi-axis ⋮ Boundary value problems for the stationary Kawahara equation ⋮ Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane ⋮ General boundary value problems of the Korteweg-de Vries equation on a bounded domain ⋮ Initial boundary value problem for Korteweg-de Vries equation: a review and open problems ⋮ Well-posedness of a nonlinear boundary value problem for the Korteweg-de Vries equation on a bounded domain ⋮ BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION ⋮ A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.

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