LARGE DATA LOCAL WELL-POSEDNESS FOR A CLASS OF KDV-TYPE EQUATIONS

被引：0

作者：

Harrop-Griffiths, Benjamin ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 02期

关键词：

NONLINEAR DISPERSIVE EQUATIONS; SCHRODINGER-EQUATIONS; CAUCHY-PROBLEM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we consider the Cauchy problem with large initial data for an equation of the form (partial derivative(t) + partial derivative(3)(x)) u = F(u, u(x), u(xx)) where F is a polynomial with no constant or linear terms. Local well-posedness was established in weighted Sobolev spaces by Kenig-Ponce-Vega. In this paper we prove local well-posedness in a translation invariant subspace of Hs by adapting the result of Marzuola-Metcalfe-Tataru on quasilinear Schrodinger equations.

引用

页码：755 / 773

页数：19

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