Nonlocal well-posedness of the mixed problem for the Zakharov-Kuznetsov equation

DOI10.1007/s10958-007-0491-9zbMath1180.35454OpenAlexW2039978815MaRDI QIDQ2654099

Andrei V. Faminskii

Publication date: 15 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0491-9

zbMATH Keywords

generalized solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

Initial-boundary value problems in a half-strip for two-dimensional Zakharov-Kuznetsov equation ⋮ On inner regularity of solutions of two-dimensional Zakharov-Kuznetsov equation ⋮ An initial-boundary value problem for three-dimensional Zakharov-Kuznetsov equation ⋮ The existence of strong solutions to the 3D Zakharov-Kuznestov equation in a bounded domain ⋮ Martingale and pathwise solutions to the stochastic Zakharov-Kuznetsov equation with multiplicative noise ⋮ Initial-boundary value problems in a rectangle for two-dimensional Zakharov-Kuznetsov equation ⋮ On regularity of solutions for initial-boundary value problems for the Zakharov-Kuznetsov equation ⋮ Topological and non-topological solitons for the generalized Zakharov-Kuznetsov modified equal width equation ⋮ Нелокальная задача для нестационарного уравнения третьего порядка составного типа с общим краевым условием ⋮ An initial and boundary-value problem for the Zakharov-Kuznestov equation in a bounded domain

Cites Work

• Sur quelques généralisations de l'équation de Korteweg-de Vries
• On the mixed problem for quasilinear equations of the third order
• A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
• An Initial Boundary-Value Problem in a Half-Strip for the Korteweg–De Vries Equation in Fractional-Order Sobolev Spaces
• THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
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