On the approximate controllability of parabolic problems with non-smooth coefficients

被引:1
作者
Donato, Patrizia [1 ]
Jose, Editha C. [2 ]
Onofrei, Daniel [3 ]
机构
[1] Univ Rouen Normandie, UMR CNRS 6085, Lab Math Raphael Salem, Ave Univ,BP 12, F-76801 St Etienne De Rouvray, France
[2] Univ Philippines Los Banos, Inst Math Sci & Phys, Los Banos, Philippines
[3] Univ Houston, Dept Math, Houston, TX 77204 USA
关键词
Parabolic equations; approximate control; non-smooth coefficients; homogenization; EQUATIONS; HOMOGENIZATION; CONTINUATION;
D O I
10.3233/ASY-201623
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we prove the existence of approximate controls for certain classes of parabolic problems with non-smooth coefficients and discuss as examples the problem of approximate controllability for the heat flow in heterogeneous media such as, periodic composites, perforated domains or periodic microstructures separated by rough interfaces.
引用
收藏
页码:395 / 402
页数:8
相关论文
共 27 条
[2]  
[Anonymous], 1998, Mathematical Physics, Analysis and Geometry
[3]  
[Anonymous], JORNADES HISPANO FRA
[4]  
[Anonymous], STOCHASTIC DIFFERENT, DOI DOI 10.1007/978-1-4612-1592-9_3
[5]  
[Anonymous], 1963, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys.
[6]  
Bensounssan A., 1978, ASYMPTOTIC ANAL PERI
[7]  
Bers L., 1954, CONV INT EQUAZIONI L, P111
[8]  
BRAHIMOTSMANE S, 1992, J MATH PURE APPL, V71, P197
[9]  
BRIANE M., 1998, Research Notes in Mathematics, 391: Nonlinear partial differential equations and their applications -College de France Seminar, VXIII, P62
[10]  
Cioranescu D., 1999, INTRO HOMOGENIZATION