STABLE SOLITARY WAVES FOR ONE-DIMENSIONAL SCHRODINGER-POISSON SYSTEMS

被引：0

作者：

Zhang, Guoqing ^{[1
]}

Zhang, Weiguo ^{[1
]}

Liu, Sanyang ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Xidian Univ, Coll Math & Stat, Xian 710071, Shanxi, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Solitary waves; orbital stability; Schrodinger-Poisson system; CONCENTRATION-COMPACTNESS PRINCIPLE; EQUATIONS; CALCULUS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the concentration compactness principle, we shoe the existence of ground state solitary wave solutions for one-dimensional Schrodinger-Poisson systems with large L-2-norm in the energy space. We also obtain orbital stability for ground state solitary waves.

引用

页数：10

共 15 条

[1]

[Anonymous], 1984, Ann. Inst. H. Poincare Anal. Non Lineaire, V1, P109

[2] Stable standing waves for a class of nonlinear Schrodinger-Poisson equations [J].

Bellazzini, Jacopo ;

Siciliano, Gaetano .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2011, 62 (02) :267-280

[3] On an exchange interaction model for quantum transport:: The Schrodinger-Poisson-Slater system [J].

Bokanowski, O ;

López, JL ;

Soler, J .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2003, 13 (10) :1397-1412

[4] EXISTENCE OF STEADY STATES FOR THE MAXWELL-SCHRODINGER-POISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATION-COMPACTNESS PRINCIPLE [J].

Catto, I. ;

Dolbeault, J. ;

Sanchez, O. ;

Soler, J. .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2013, 23 (10) :1915-1938

[5]

Cazenave, 2003, LECT NOTES MATH, V10

[6] ORBITAL STABILITY OF STANDING WAVES FOR SOME NON-LINEAR SCHRODING EQUATIONS [J].

CAZENAVE, T ;

LIONS, PL .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 85 (04) :549-561

[7] The one-dimensional Schrodinger-Newton equations [J].

Choquard, Philippe ;

Stubbe, Joachim .

LETTERS IN MATHEMATICAL PHYSICS, 2007, 81 (02) :177-184

[8] Well posedness and smoothing effect of Schrodinger-Poisson equation [J].

De Leo, M. ;

Rial, D. .

JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (09)

[9] Soliton solutions of the nonlinear Schrodinger equation with nonlocal Coulomb and Yukawa interactions [J].

Hartmann, Betti ;

Zakrzewski, Wojtek J. .

PHYSICS LETTERS A, 2007, 366 (06) :540-544

[10]

Hasegawa A., 1990, OPTICAL SOLITONS FIB

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