Smoothing properties of nonlinear dispersive equations in two spatial dimensions

DOI10.1006/jdeq.2000.3956zbMath1194.35109OpenAlexW2052472902MaRDI QIDQ5949597

Julie L. Levandosky

Publication date: 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3956

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (12)

Smoothing properties for a two-dimensional Kawahara equation ⋮ On inner regularity of solutions of two-dimensional Zakharov-Kuznetsov equation ⋮ Propagation of regularity for solutions to the KP-I equation ⋮ Unnamed Item ⋮ Gain of regularity for the KP-I equation ⋮ On regularity of solutions for initial-boundary value problems for the Zakharov-Kuznetsov equation ⋮ Smoothing properties for a coupled system of nonlinear evolution dispersive equations ⋮ Single Point Gradient Blow-Up and Nonuniqueness for a Third-Order Nonlinear Dispersion Equation ⋮ Modified KdV equation with a source term in a bounded domain ⋮ Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients ⋮ Shock waves and compactons for fifth-order non-linear dispersion equations ⋮ On the regularity of solutions of the Cauchy problem for the Zakharov-Kuznetsov equation in Hölder norms

Cites Work

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• Regularity of solutions to nonlinear dispersive equations
• Linear dispersive equations of Airy type
• On solutions on the initial value problem for the nonlinear Schrödinger equations
• Gain of regularity for equations of KdV type
• Solutions of the Korteweg-de Vries equation from irregular data
• Dispersive smoothing effects for KdV type equations
• On solutions of the initial value problem for the nonlinear Schrödinger equations in one space dimension
• Smoothing effect for some Schrödinger equations
• Local Smoothing Properties of Dispersive Equations
• Gain of regularity for the KP-II equation

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