Gain of regularity for the KP-II equation

DOI10.1512/iumj.2000.49.1690zbMath0980.35143OpenAlexW2028826151MaRDI QIDQ4522437

Julie L. Levandosky

Publication date: 21 February 2001

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2000.49.1690

zbMATH Keywords

Kadomtsev-Petviashvili equationexistence timegain in regularitysmoothness properties of solutionssingularities in the initial data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (9)

Smoothing properties for a two-dimensional Kawahara equation ⋮ Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations ⋮ Propagation of regularity for solutions to the KP-I equation ⋮ Unnamed Item ⋮ Gain of regularity for the KP-I equation ⋮ Smoothing properties for a coupled system of nonlinear evolution dispersive equations ⋮ Smoothing properties of nonlinear dispersive equations in two spatial dimensions ⋮ On the Propagation of Regularity of Solutions of the Kadomtsev--Petviashvili Equation ⋮ Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients

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