Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
We consider the semilinear heat equation involving gradient terms in a bounded domain of [R^n]. It is assumed that the non-linearity is globally Lipschitz. We prove that the system is approximately controllable when t1e control acts on a bounded subset of the domain. The proof uses a variant of a classical fixed point method and is a simpler alternative to the earlier proof existing in the literature by means of the penalization of an optimal control problem. We also prove that the contool may be built so that, in addition to the approximate controllability requirement, it ensures that the state reaches exactly a finite number of constraints.
Czasopismo
Rocznik
Tom
Strony
665--683
Opis fizyczny
Bibliogr. 26 poz.,
Twórcy
autor
Bibliografia
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT2-0001-0092