Nonhomogeneous boundary value problems for the Korteweg-de Vries equation on a bounded domain

DOI10.1007/s11424-010-0143-xzbMath1202.35229OpenAlexW1974917028MaRDI QIDQ601067

Eugene F. Kramer, Bing-Yu Zhang

Publication date: 3 November 2010

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1258478397

zbMATH Keywords

Korteweg-de Vries equationwell-posed

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (15)

Control and stabilization of the Rosenau equation posed on a periodic domain ⋮ On the semi-global stabilizability of the Korteweg-de Vries Equationviamodel predictive control ⋮ Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain ⋮ Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method ⋮ Boundary stabilization of the Korteweg-de Vries equation and the Korteweg-de Vries-Burgers equation ⋮ Boundary smoothing properties of the Kawahara equation posed on the finite domain ⋮ Boundary feedback stabilization of the Korteweg-de Vries-Burgers equation posed on a finite interval ⋮ 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 ⋮ Odd-order quasilinear evolution equations with general nonlinearity on bounded intervals ⋮ Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory ⋮ Non-homogeneous boundary value problems of the fifth-order KdV equations on a bounded interval ⋮ BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION ⋮ Non-homogeneous boundary value problems of the Kawahara equation posed on a finite interval ⋮ Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths

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