Asymptotic Behavior of Solutions to Multiplicative Control Problems for Elliptic Equations

被引：2

作者：

Brizitskii, R. V. ^{[1
]}

Savenkova, A. S. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Appl Math, Far E Div, Vladivostok 690041, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

optimal control with distributed parameters; impedance; asymptotic behavior; Helmholtz equation; diffusion equation; mass transfer coefficient;

D O I：

10.1134/S0965542508090078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problems of optimal multiplicative control for the Helmholtz equation and the diffusion equation are studied. The control function is included multiplicatively in a mixed-type boundary condition specified on the entire domain boundary or its part. For each of the models under study, an iterative method for determining an approximate solution is constructed and theoretically substantiated for sufficiently large values of the regularization parameter.

引用

页码：1570 / 1580

页数：11

共 50 条

[31] Asymptotic behavior of boundary blow-up solutions to elliptic equations
Huang, Shuibo
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (01): : 1 - 20
[32] Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity
Cirstea, Florica Corina
Du, Yihong
JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 250 (02) : 317 - 346
[33] ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF SECOND ORDER NONLINEAR ELLIPTIC DIFFERENTIAL EQUATIONS
徐志庭
Acta Mathematica Scientia, 2001, (01) : 131 - 136
[34] ENTIRE SOLUTIONS WITH ASYMPTOTIC BEHAVIOR OF FULLY NONLINEAR UNIFORMLY ELLIPTIC EQUATIONS
Dai, Limei
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (06) : 1707 - 1714
[35] Asymptotic behavior of solutions of second order nonlinear elliptic differential equations
Xu, ZT
ACTA MATHEMATICA SCIENTIA, 2001, 21 (01) : 131 - 136
[36] Multiplicity and asymptotic behavior of solutions for quasilinear elliptic equations with small perturbations
Huang, Chen
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 505 (02)
[37] Asymptotic behavior of solutions to weakly nonlinear elliptic equations in tube domains
Grishina, GV
DIFFERENTIAL EQUATIONS, 1995, 31 (03) : 429 - 434
[38] ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF CERTAIN ELLIPTIC EQUATIONS NEAR A SINGULAR MANIFOLD
ROSENBLO.PC
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1973, 23 (01) : 41 - 68
[39] ASYMPTOTIC BEHAVIOR AND UNIQUENESS OF BLOW-UP SOLUTIONS OF ELLIPTIC EQUATIONS
Lieberman, Gary M.
METHODS AND APPLICATIONS OF ANALYSIS, 2008, 15 (02) : 243 - 262
[40] Asymptotic behavior of positive solutions of semilinear elliptic equations in Rn, II
Lai, Bai Shun
Zhou, Shu Qing
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (09) : 1723 - 1738

← 1 2 3 4 5 →