Sharp regularity results for hyperbolic-dominated thermoelastic systems with point control

被引：4

作者：

Triggiani, R. ^{[1
]}

机构：

[1] Univ Virginia, Dept Math, Charlottesville, VA 22903 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 333卷 / 01期

基金：

美国国家科学基金会;

关键词：

thermoelastic systems; point control;

D O I：

10.1016/j.jmaa.2006.10.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide sharp regularity results for thermoelastic plate-like systems under the action of an interior point control exercised in the Kirchhoff-type mechanical equation, in the case of hinged/Dirichlet boundary conditions (B.C.) (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：530 / 542

页数：13

共 18 条

[1] The critical case of clamped thermoelastic systems with interior point control: Optimal interior and boundary regularity results
Triggiani, R.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (12) : 3764 - 3805
[2] SHARP REGULARITY RESULTS FOR MIXED HYPERBOLIC PROBLEMS OF 2ND-ORDER
LASIECKA, I
LECTURE NOTES IN MATHEMATICS, 1986, 1223 : 160 - 175
[3] The Optimal Interior Regularity for the Critical Case of a Clamped Thermoelastic System with Point Control Revisited
Lebiedzik, Catherine
Triggiani, Roberto
MODERN ASPECTS OF THE THEORY OF PARTIAL DIFFERENTIAL EQUATIONS, 2011, 216 : 243 - +
[4] Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions
Lebiedzik, Catherine
Triggiani, Roberto
CONTROL AND CYBERNETICS, 2009, 38 (04): : 1461 - 1499
[5] SHARP REGULARITY THEORY OF SECOND ORDER HYPERBOLIC EQUATIONS WITH NEUMANN BOUNDARY CONTROL NON-SMOOTH IN SPACE
Triggiani, Roberto
EVOLUTION EQUATIONS AND CONTROL THEORY, 2016, 5 (04): : 489 - 514
[6] Two-point Output Feedback Boundary Control for Semilinear Hyperbolic Systems
Dolgopolik, Maksim
Fradkov, Alexander L.
Andrievsky, Boris
IFAC PAPERSONLINE, 2019, 52 (16): : 54 - 59
[7] WELL-POSEDNESS AND REGULARITY OF HYPERBOLIC BOUNDARY CONTROL SYSTEMS ON A ONE-DIMENSIONAL SPATIAL DOMAIN
Zwart, Hans
Le Gorrec, Yann
Maschke, Bernhard
Villegas, Javier
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2010, 16 (04) : 1077 - 1093
[8] A SURVEY OF EXTREME POINT RESULTS FOR ROBUSTNESS OF CONTROL-SYSTEMS
BARMISH, BR
KANG, HI
AUTOMATICA, 1993, 29 (01) : 13 - 35
[9] The Kalman-Popov-Yakubovich Theorem: An overview and new results for hyperbolic control systems
Pandolfi, L
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (02) : 735 - 745
[10] Necessary Conditions for the Existence of a Saddle Point in one Optimal Control Problem for Systems of Hyperbolic Equations
Ramazanova, Aysel Telman qizi
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, 14 (04): : 1402 - 1414

← 1 2 →