Stabilization of a Solution to the Heat Equation with Boundary Control in the Exterior of a Disc

被引：0

作者：

Gorshkov A.V. ^{[1
]}

机构：

[1] Lomonosov Moscow State University, Moscow

来源：

Journal of Mathematical Sciences | 2015年 / 210卷 / 5期

基金：

俄罗斯基础研究基金会;

关键词：

Bessel Function; Heat Equation; Elliptic Problem; Boundary Control; Parabolic Problem;

D O I：

10.1007/s10958-015-2582-3

中图分类号：

学科分类号：

摘要：

We study the stabilization of a solution to the heat equation with boundary control in the exterior of a disc. For any given k > 0 we construct a boundary control stabilizing the solution to zero with rate 1/tk. Bibliography: 5 titles. © 2015, Springer Science+Business Media New York.

引用

页码：635 / 647

页数：12

共 50 条

[1] Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control
Gorshkov, A. V.
MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2016, 71 (05) : 173 - 184
[2] Stabilization for the Stochastic Heat Equation with Boundary Control
Ma, Baolin
Sun, Yiyue
Zheng, Guojie
JOURNAL OF MATHEMATICS, 2022, 2022
[3] NUMERICAL EXPERIMENT FOR STABILIZATION OF THE HEAT EQUATION BY DIRICHLET BOUNDARY CONTROL
Halanay, A.
Murea, C. M.
Safta, C. A.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2013, 34 (12) : 1317 - 1327
[4] Numerical solution of a boundary control problem for the heat equation
Briani, A
Marta, A
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 363 - 364
[5] Stabilization of linear heat equation with a heat source at intermediate point by boundary control
Zhou, Zhongcheng
Guo, Chunli
AUTOMATICA, 2013, 49 (02) : 448 - 456
[6] STABILIZATION OF SOLUTION TO HEAT CONDUCTION EQUATION
DROZHZHI.YN
DOKLADY AKADEMII NAUK SSSR, 1969, 185 (01): : 13 - &
[7] STABILIZATION OF THE SOLUTION TO THE HEAT CONDUCTANCE EQUATION
POLIAKOVA, VM
DOKLADY AKADEMII NAUK SSSR, 1959, 129 (06): : 1230 - 1233
[8] Boundary feedback stabilization of an unstable heat equation
Liu, WJ
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (03) : 1033 - 1043
[9] Prescribed-time stabilization of uncertain heat equation with Dirichlet boundary control
Wei, Chengzhou
Li, Junmin
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2023, 40 (03) : 445 - 473
[10] Stabilization of a solution to the heat equation on the half-axis with locally distributed control
Gorshkov A.V.
Journal of Mathematical Sciences, 2015, 205 (2) : 190 - 198

← 1 2 3 4 5 →