BOUNDARY STABILIZATION OF MAXWELL EQUATIONS

被引：0

作者：

KOMORNIK, V ^{[1
]}

机构：

[1] CNRS,F-67084 STRASBOURG,FRANCE

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1994年 / 318卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider Maxwell's equations with the Silver-Miller absorbing boundary conditions in a bounded domain of R3. Assuming that the domain is star-shaped we prove the exponential energy decay of the solutions. As a consequence, we improve some earlier exact controllability theorems by weakening their time assumptions. Our results are optimal if OMEGA is a ball. The proofs are based on a new identity obtained by the multiplier method.

引用

页码：535 / 540

页数：6

共 50 条

[1] Boundary stabilization of quasilinear Maxwell equations
Pokojovy, Michael
Schnaubelt, Roland
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (02) : 784 - 812
[2] Boundary stabilization of Maxwell's equations
[J]. Comptes Rendus L'Acad Sci Ser I Math, 2 (187):
[3] STABILIZATION AND EXACT BOUNDARY CONTROLLABILITY FOR MAXWELL EQUATIONS
KAPITONOV, BV
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1994, 32 (02) : 408 - 420
[4] Stabilization and simultaneous boundary controllability for a pair of Maxwell's equations
Kapitonov, BV
[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 1996, 15 (03): : 213 - 225
[5] Uniform stabilization for Maxwell's equations with boundary conditions with memory
Kapitonov, BV
Menzala, GP
[J]. ASYMPTOTIC ANALYSIS, 2001, 26 (02) : 91 - 104
[6] UNIFORM STABILIZATION OF ANISOTROPIC MAXWELL'S EQUATIONS WITH BOUNDARY DISSIPATION
da Luz, Cleverson R.
Menzala, Gustavo P.
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2009, 2 (03): : 547 - 558
[7] Stabilization of heteregeneous Maxwell's equations by linear or nonlinear boundary feedbacks
Eller, Matthias
Lagnese, John E.
Nicaise, Serge
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2002,
[8] Boundary stabilization of Maxwell's equations with space-time variable coefficients
Nicaise, S
Pignotti, C
[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2003, 9 : 563 - 578
[9] Semi-uniform stabilization of anisotropic Maxwell's equations via boundary feedback on split boundary
Skrepek, Nathanael
Waurick, Marcus
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 394 : 345 - 374
[10] ON MAXWELL EQUATIONS WITH THE TRANSPARENT BOUNDARY CONDITION
Jean-Claude Nédélec
[J]. Journal of Computational Mathematics, 2008, 26 (03) : 284 - 296

← 1 2 3 4 5 →