Abstract We investigate additional regularity properties of all globally defined weak solutions, their global and trajectory attractors for a class of autonomous differential inclusion with upper semi-continuous interaction function, when initial data uτ ∈ L2(). The main contributions of this paper are: (i) additional regularity and new topological properties of all weak solutions of parabolic feedback control problem with upper semi-continuous interaction function, (ii) a sufficient condition for regularity of global and trajectory attractors, and (iii) new a priory estimates for all weak solutions.
Regularity of Weak Solutions and Their Attractors for a Parabolic Feedback Control Problem / P. O., Kasyanov; Toscano, Luisa; N. V., Zadoianchuk. - In: SET-VALUED AND VARIATIONAL ANALYSIS. - ISSN 1877-0533. - 21:2(2013), pp. 271-282. [10.1007/s11228-013-0233-8]
Regularity of Weak Solutions and Their Attractors for a Parabolic Feedback Control Problem
TOSCANO, LUISA;
2013
Abstract
Abstract We investigate additional regularity properties of all globally defined weak solutions, their global and trajectory attractors for a class of autonomous differential inclusion with upper semi-continuous interaction function, when initial data uτ ∈ L2(). The main contributions of this paper are: (i) additional regularity and new topological properties of all weak solutions of parabolic feedback control problem with upper semi-continuous interaction function, (ii) a sufficient condition for regularity of global and trajectory attractors, and (iii) new a priory estimates for all weak solutions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
