Istituto di Matematica Applicata e Tecnologie Informatiche     
Stefanelli U. On a class of doubly nonlinear nonlocal evolution equations. Preprint ercim.cnr.ian//2001-1252, 2001.
This note deals with the initial value problem for the abstract nonlinear nonlocal equation $ (A u)' + (B u) ni f $, where $ A $ is a possibly degenerate maximal monotone operator from the Hilbert space $ V $ to its dual space $ V ^* $, while $ B $ is a nonlocal maximal monotone operator from $ L^2(0,T,V) $ to $ L^2(0,T;V^*) $. Assuming suitable boundedness and coerciveness conditions and letting $ A $ be a subgradient, existence of a solution is established by making use of an approximation procedure. Applications to various classes of degenerate nonlinear integrodifferential equations are discussed.
Subject Nonlocal evolution equations, approximation
35K55, 45N05

Icona documento Open access Icona documento Restricted Icona documento Private


Per ulteriori informazioni, contattare: Librarian http://puma.isti.cnr.it

Valid HTML 4.0 Transitional