Large deviations for stochastic generalized porous media equations

被引：35

作者：

Roeckner, Michael

Wang, Feng-Yu ^{[1
]}

Wu, Liming

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

[3] Univ Clermont Ferrand, Lab Math Appl, CNRS, UMR 6620, F-63177 Clermont Ferrand, France

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2006年 / 116卷 / 12期

基金：

中国国家自然科学基金;

关键词：

stochastic porous medium equation; large deviation principle;

D O I：

10.1016/j.spa.2006.05.007

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The large deviation principle is established for the distributions of a class of generalized stochastic porous media equations for both small noise and short time. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1677 / 1689

页数：13

共 19 条

[1]

[Anonymous], 1992, ENCY MATH ITS APPL

[2]

[Anonymous], 2011, APPL MATH

[3]

ARONSON DG, 1986, LECT NOTES MATH, V1224, P1

[4] LARGE TIME BEHAVIOR OF SOLUTIONS OF THE POROUS-MEDIUM EQUATION IN BOUNDED DOMAINS [J].

ARONSON, DG ;

PELETIER, LA .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 39 (03) :378-412

[5]

BARBU V, WEAK SOLUTION STOCHA

[6]

BOGACHEV V. I., 2004, Dokl. Akad. Nauk., V396, P7

[7] Large deviations for a Burgers'-type SPDE [J].

Cardon-Weber, C .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 84 (01) :53-70

[8]

Cerrai S, 2004, ANN PROBAB, V32, P1100

[9] Strong solutions of stochastic generalized porous media equations:: Existence, uniqueness, and ergodicity [J].

Da Prato, G ;

Röckner, M ;

Rozovskii, BL ;

Wang, FY .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2006, 31 (02) :277-291

[10] Weak solutions to stochastic porous media equations [J].

DA Prato, G ;

Röckner, M .

JOURNAL OF EVOLUTION EQUATIONS, 2004, 4 (02) :249-271

← 1 2 →