Weak solutions for the derivative nonlinear Schrodinger equation

被引：4

作者：

Rial, DF ^{[1
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 02期

关键词：

weak solutions; smoothing effect; derivative nonlinear Schrodinger equation; non-local dissipation;

D O I：

10.1016/S0362-546X(00)00217-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial value problem for the derivative nonlinear Schrödinger equation (DNLS) was studied. The existence of global weak solutions and smoothing effect for DNLS was demonstrated. Compactness was required to obtain the dispersive smoothing properties of the Schrödinger equation.

引用

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页码：149 / 158

页数：10

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