Finite approximate controllability for semilinear heat equations in noncylindrical domains

被引：0
|
作者：
De Menezes, SB
Limaco, J
Medeiros, LA
机构：
[1] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, Brazil
[2] Fed Univ Para, Dept Matemat, BR-60075110 Belem, Para, Brazil
[3] Univ Fed Fluminense, Inst Matemat, BR-24210110 Rio De Janeiro, Brazil
来源：
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2004年 / 76卷 / 03期
关键词：
heat operator; finite approximate controllability; Leray-Schauder fixed point; non-cylindrical;
D O I：
10.1590/S0001-37652004000300002
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We investigate finite approximate controllability for semilinear heat equation in noncylindrical domains. First we study the linearized problem and then by an application of the fixed point result of Leray-Schauder we obtain the finite approximate controllability for the semilinear state equation.
引用
收藏
页码：475 / 487
页数：13
相关论文
共 50 条
  • [41] Approximate controllability of linear parabolic equations in perforated domains
    Donato, P
    Nabil, A
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2001, 6 (02): : 21 - 38
  • [42] EXACT CONTROLLABILITY OF THE WAVE-EQUATION IN NONCYLINDRICAL DOMAINS
    MIRANDA, MM
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 317 (05): : 495 - 499
  • [43] Approximate Controllability for Semilinear Systems
    W. Bian
    Acta Mathematica Hungarica, 1998, 81 : 41 - 57
  • [44] Approximate controllability for semilinear systems
    Bian, W
    ACTA MATHEMATICA HUNGARICA, 1998, 81 (1-2) : 41 - 57
  • [45] NULL BOUNDARY CONTROLLABILITY FOR SEMILINEAR HEAT-EQUATIONS
    GUO, YJL
    LITTMAN, W
    APPLIED MATHEMATICS AND OPTIMIZATION, 1995, 32 (03): : 281 - 316
  • [46] Finite dimensional null controllability for the semilinear heat equation
    Zuazua, E
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1997, 76 (03): : 237 - 264
  • [47] FEEDBACK CONTROLLABILITY FOR BLOWUP POINTS OF SEMILINEAR HEAT EQUATIONS
    Lin, Ping
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (04): : 1425 - 1434
  • [48] ROBUST STACKELBERG CONTROLLABILITY FOR LINEAR AND SEMILINEAR HEAT EQUATIONS
    Hernandez-Santamaria, Victor
    de Teresa, Luz
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2018, 7 (02): : 247 - 273
  • [49] CONTROLLABILITY UNDER POSITIVITY CONSTRAINTS OF SEMILINEAR HEAT EQUATIONS
    Pighin, Dario
    Zuazua, Enrique
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2018, 8 (3-4) : 935 - 964
  • [50] Homogenization and approximate controllability for the heat equation in perforated domains
    Donato, P
    Nabil, A
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (07): : 789 - 794
12345