The Cauchy problem for the Pavlov equation with large data

被引：2
|
作者：
Wu, Derchyi [1 ]
机构：
[1] Acad Sinica, Inst Math, Taipei, Taiwan
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 03期
关键词：
KADOMTSEV-PETVIASHVILI EQUATION; DISPERSIONLESS KP HIERARCHY; EINSTEIN-WEYL SPACES; HEAVENLY EQUATION; INTEGRABLE SYSTEM; WAVE-EQUATIONS; TWISTOR-THEORY; VECTOR-FIELDS; DKP EQUATION;
D O I：
10.1016/j.jde.2017.03.033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a local solvability of the Cauchy problem for the Pavlov equation with large initial data by the inverse scattering method. The Pavlov equation arises in studies Einstein-Weyl geometries and dispersion less integrable models. Our theory yields a local solvability of Cauchy problems for a quasi-linear wave equation with a characteristic initial hypersurface. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：1874 / 1906
页数：33
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