Global solution for a stochastic Ginzburg-Landau equation with multiplicative noise

被引：22

作者：

Barton-Smith, M

机构：

[1] Univ Paris 11, Anal Numer Lab, F-91405 Orsay, France

[2] Univ Paris 11, EDP Orsay, F-91405 Orsay, France

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2004年 / 22卷 / 01期

关键词：

Ginzburg-Landau equations; stochastic partial differential equations; multiplicative noise;

D O I：

10.1081/SAP-120028020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is about stochastic complex Ginzburg-Landau equations with a multiplicative white noise. Existence of global solutions are proved in the same conditions as in the deterministic case.

引用

页码：1 / 18

页数：18

共 20 条

[1] [Anonymous], 1995, STOCH STOCH REP, DOI DOI 10.1080/17442509508833962
[2] TEMPERATURE EFFECTS IN A NONLINEAR MODEL OF MONOLAYER SCHEIBE AGGREGATES
BANG, O
CHRISTIANSEN, PL
IF, F
RASMUSSEN, KO
GAIDIDEI, YB
[J]. PHYSICAL REVIEW E, 1994, 49 (05): : 4627 - 4636
[3] Bang O., 1995, Applicable Analysis, V57, P3, DOI 10.1080/00036819508840335
[4] BARTONSMITHM, 2003, NODEA, V10, P95
[5] Inviscid limits of the complex Ginzburg-Landau equation
Bechouche, P
Jüngel, A
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 214 (01) : 201 - 226
[6] Brzeniak Z., 1997, Stoch. Stoch. Rep, V61, P245, DOI [10.1080/17442509708834122, DOI 10.1080/17442509708834122]
[7] Space-time continuous solutions to SPDE's driven by a homogeneous Wiener process
Brzezniak, Z
Peszat, S
[J]. STUDIA MATHEMATICA, 1999, 137 (03) : 261 - 299
[8] Cahn-Hilliard stochastic equation: existence of the solution and of its density
Cardon-Weber, C
[J]. BERNOULLI, 2001, 7 (05) : 777 - 816
[9] Cazenave T., 1996, INTRO NONLINEAR SCHR, V3rd
[10] DAPRATO G, ENCY MATH

← 1 2 →