On the approximate controllability of some semilinear parabolic boundary-value problems

被引：10

作者：

Diaz, JI

Henry, J

Ramos, AM

机构：

[1] INST NATL RECH INFORMAT & AUTOMAT,F-78153 LE CHESNAY,FRANCE

[2] UNIV COMPLUTENSE MADRID,DEPT SISTEMAS INFORMAT & PROGRAMAC,E-28040 MADRID,SPAIN

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1998年 / 37卷 / 01期

关键词：

approximate controllability; semilinear parabolic boundary-value problems; interior or boundary controls;

D O I：

10.1007/s002459900069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the approximate controllability of several nonlinear parabolic boundary-value problems by means of two different methods: the first one can be called a Cancellation method and the second one uses the Kakutani fixed-point theorem.

引用

页码：71 / 97

页数：27

共 50 条

[1] On the Approximate Controllability of Some Semilinear Parabolic Boundary-Value Problems
J. I. Díaz
J. Henry
A. M. Ramos
[J]. Applied Mathematics and Optimization, 1998, 37 : 71 - 97
[2] MULTIPLICITY RESULTS FOR A CLASS OF SEMILINEAR ELLIPTIC AND PARABOLIC BOUNDARY-VALUE PROBLEMS
LAZER, AC
MCKENNA, PJ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 107 (02) : 371 - 395
[3] EXISTENCE AND REGULARITY OF SOLUTIONS OF SEMILINEAR PARABOLIC INITIAL - BOUNDARY-VALUE PROBLEMS
KIELHOFER, H
[J]. MATHEMATISCHE ZEITSCHRIFT, 1975, 142 (02) : 131 - 160
[4] A class of semilinear boundary-value problems
Moroz, VB
[J]. DOKLADY AKADEMII NAUK BELARUSI, 1998, 42 (05): : 30 - 33
[5] On the approximate controllability for second order nonlinear parabolic boundary value problems.
Diaz, JI
Henry, J
Ramos, AM
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 403 - 404
[6] On the approximate controllability for some explosive parabolic problems
Díaz, JI
Lions, JL
[J]. OPTIMAL CONTROL OF PARTIAL DIFFERENTIAL EQUATIONS, 1999, 133 : 115 - 132
[7] A SEMILINEAR PARABOLIC BOUNDARY-VALUE PROBLEM IN BIOREACTORS THEORY
Drame, Abdou Khadry
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
[8] NONSELFADJOINT SEMILINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS
CANADA, A
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1987, 148 : 237 - 250
[9] SINGULARITIES OF SOLUTIONS TO SEMILINEAR BOUNDARY-VALUE PROBLEMS
DAVID, F
WILLIAMS, M
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1987, 109 (06) : 1087 - 1109
[10] BOUNDARY APPROXIMATE CONTROLLABILITY OF SOME LINEAR PARABOLIC SYSTEMS
Olive, Guillaume
[J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2014, 3 (01): : 167 - 189

← 1 2 3 4 5 →