THE CAUCHY PROBLEM FOR THE FRACTIONAL KADOMTSEV-PETVIASHVILI EQUATIONS

被引：21

作者：

Linares, Felipe ^{[1
]}

Pilod, Didier ^{[2
,3
]}

Saut, Jean-Claude ^{[4
]}

机构：

[1] IMPA, BR-22460320 Rio De Janeiro, RJ, Brazil

[2] Univ Fed Rio de Janeiro, Inst Matemat, BR-2194197 Rio De Janeiro, RJ, Brazil

[3] Univ Bergen, Dept Math, N-5020 Bergen, Norway

[4] Univ Paris Saclay, CNRS, Univ Paris Sud, Lab Math,UMR 8628, F-91405 Orsay, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2018年 / 50卷 / 03期

关键词：

KP equations; Burgers equation; dispersion; well-posedness; Strichartz estimate; ill-posedness; GLOBAL WELL-POSEDNESS; SOLITARY-WAVE SOLUTIONS; INITIAL-VALUE PROBLEM; SMOOTHING PROPERTIES; INTERNAL WAVES; BLOW-UP; STABILITY; INSTABILITY; EXISTENCE; BURGERS;

D O I：

10.1137/17M1145379

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove various ill-posedness and well-posedness results on the Cauchy problem associated to a class of fractional Kadomtsev-Petviashvili (KP) equations, including the KP version of the Benjamin-Ono and intermediate long wave equations.

引用

页码：3172 / 3209

页数：38

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