Global Well-Posedness for Cubic NLS with Nonlinear Damping

被引：18
|
作者：
Antonelli, Paolo [1 ]
Sparber, Christof [1 ]
机构：
[1] Univ Cambridge, CMS, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 35卷 / 12期
关键词：
Dissipation; Energy space; Nonlinear damping; Nonlinear Schrodinger equation; Three-body recombination; GINZBURG-LANDAU EQUATION; SCHRODINGER-EQUATIONS; QUADRATIC POTENTIALS; ASYMPTOTIC-BEHAVIOR; CAUCHY-PROBLEM; PERTURBATION; SCATTERING; EXISTENCE;
D O I：
10.1080/03605300903540943
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Cauchy problem for the cubic nonlinear Schrodinger equation, perturbed by (higher order) dissipative nonlinearities. We prove global in-time existence of solutions for general initial data in the energy space. In particular we treat the energy-critical case of a quintic dissipation in three space dimensions.
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页码：2310 / 2328
页数：19
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