Approximate Controllability of a 3D Nonlinear Stochastic Wave Equation

被引：0

作者：

Gao, Peng ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

关键词：

EXACT BOUNDARY CONTROLLABILITY; WEAK ASYMPTOTIC DECAY; MAXWELLS EQUATIONS; STABILIZATION; EXISTENCE; SYSTEMS;

D O I：

10.1155/2014/524860

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the well-posedness of a 3D nonlinear stochastic wave equation which derives from the Maxwell system by the Galerkin method. Then we study the approximate controllability of this system by the Hilbert uniqueness method.

引用

页数：7

共 18 条

[1]

[Anonymous], 1990, MATH ANAL NUMERICAL

[2] Well-posedness and exponential stability of Maxwell-like systems coupled with strongly absorbing layers [J].

Barucq, Helene ;

Fontes, Mathieu .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 87 (03) :253-273

[3]

Cessenat M., 1996, series on Adv. Math. Appl. Sci., V41

[4] On the approximate controllability of the stochastic Maxwell equations [J].

Horsin, T. ;

Stratis, I. G. ;

Yannacopoulos, A. N. .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2010, 27 (01) :103-118

[5] STABILIZATION AND EXACT BOUNDARY CONTROLLABILITY FOR MAXWELL EQUATIONS [J].

KAPITONOV, BV .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1994, 32 (02) :408-420

[6]

Karatzas I., 1997, BROWNIAN MOTION STOC, V2nd

[7] Approximate controllability of a stochastic wave equation [J].

Kim, JU .

APPLIED MATHEMATICS AND OPTIMIZATION, 2004, 49 (01) :81-98

[8]

LAGNESE J.E, OPTIMAL CONTROL PART, V149, DOI [10.1007/BFb0043222, DOI 10.1007/BFB0043222]

[9] EXACT BOUNDARY CONTROLLABILITY OF MAXWELLS EQUATIONS IN A GENERAL REGION [J].

LAGNESE, JE .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (02) :374-388

[10] EXACT CONTROLLABILITY, STABILIZATION AND PERTURBATIONS FOR DISTRIBUTED SYSTEMS [J].

LIONS, JL .

SIAM REVIEW, 1988, 30 (01) :1-68

← 1 2 →