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
收藏
页码：263 / 276
页数：14
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