Higher-order nonlinear Schrodinger equations with singular data

被引：0

作者：

Hayashi, Nakao ^{[1
]}

Naumkin, Pavel I. ^{[2
]}

Ogawa, Takayoshi ^{[3
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

[2] UNAM, Ctr Ciencias Matemat, Campus Morelia,AP 61-3 Xangari, Morelia 58089, Michoacan, Mexico

[3] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2018年 / 18卷 / 01期

关键词：

Higher-order nonlinear Schrodinger equation; Local existence; Weighted Sobolev space; WELL-POSEDNESS; ILL-POSEDNESS; SPACES; 2D;

D O I：

10.1007/s00028-017-0400-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for the higher-order nonlinear Schrodinger equation where . We prove local existence of solutions for the case of singular initial data including the Dirac delta function.

引用

页码：263 / 276

页数：14

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