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.

引用

页码：2310 / 2328

页数：19

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