Global self-similar solutions of a class of nonlinear Schrodinger equations

被引：2

作者：

Ye, Yaojun ^{[1
]}

机构：

[1] Zhejiang Univ Sci & Technol, Dept Math & Informat Sci, Hangzhou 310023, Zhejiang, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2008年

关键词：

D O I：

10.1155/2008/836124

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a certain range of the value p in the nonlinear term |u|(p) u, in this paper, we mainly study the global existence and uniqueness of global self-similar solutions to the Cauchy problem for some nonlinear Schrodinger equations using the method of harmonic analysis. Copyright (c) 2008.

引用

页数：9

共 50 条

[1] Global solutions and self-similar solutions for coupled nonlinear Schrodinger equations
Ye, Yaojun
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (12) : 4613 - 4624
[2] Self-Similar Solutions for Nonlinear Schrodinger Equations
Ye, Yaojun
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009
[3] Asymptotically self-similar global solutions of the nonlinear Schrodinger and heat equations
Cazenave, T
Weissler, FB
[J]. MATHEMATISCHE ZEITSCHRIFT, 1998, 228 (01) : 83 - 120
[4] Self-similar solutions of equations of the nonlinear Schrodinger type
Marikhin, VG
Shabat, AB
Boiti, M
Pempinelli, F
[J]. JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2000, 90 (03) : 553 - 561
[5] Regular and self-similar solutions of nonlinear Schrodinger equations
Ribaud, F
Youssfi, A
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1998, 77 (10): : 1065 - 1079
[6] Global solutions and self-similar solutions for nonlinear beam equations
Guo, Ai
Cui, Shangbin
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2006, 44 (3-4) : 405 - 412
[7] Global solutions and self-similar solutions of nonlinear wave equations
Ribaud, F
Youssfi, A
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 329 (01): : 33 - 36
[8] Self-similar solutions and collective coordinate methods for nonlinear Schrodinger equations
Pérez-García, VM
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2004, 191 (3-4) : 211 - 218
[9] Self-similar solutions of multi-dimensional nonlinear Schrodinger equations
Skoromnaya, S. F.
Tkachenko, V. I.
[J]. PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY, 2008, (04): : 237 - 241
[10] SELF-SIMILAR SOLUTIONS FOR A COUPLED SYSTEM OF NONLINEAR SCHRODINGER-EQUATIONS
GAGNON, L
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (09): : 2649 - 2667

← 1 2 3 4 5 →