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

页码：1874 / 1906

页数：33

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