A semilinear multivalued evolution equation is considered in a reflexive Banach space. The nonlinear term has convex, closed, bounded values and a weakly sequentially closed graph when restricted to its second argument. No strong compactness is assumed, neither on the evolution operator generated by the linear part, or on the nonlinear term. A wide family of nonlocal associated boundary value problems is investigated by means of a fixed point technique. Applications are given to an optimal feedback control problem, to a nonlinear hyperbolic integro-differential equation arising in age-structure population models, and to a multipoint boundary value problem associated to a parabolic partial differential equation.
Nonlocal semilinear evolution equations without strong compactness: theory and applications / Irene, Benedetti; Malaguti, Luisa; Taddei, Valentina. - In: BOUNDARY VALUE PROBLEMS. - ISSN 1687-2770. - ELETTRONICO. - 60(2013), pp. 1-18.
Data di pubblicazione: | 2013 |
Titolo: | Nonlocal semilinear evolution equations without strong compactness: theory and applications |
Autore/i: | Irene, Benedetti; Malaguti, Luisa; Taddei, Valentina |
Autore/i UNIMORE: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1186/1687-2770-2013-60 |
Rivista: | |
Volume: | 60 |
Pagina iniziale: | 1 |
Pagina finale: | 18 |
Codice identificativo ISI: | WOS:000318277800001 |
Codice identificativo Scopus: | 2-s2.0-84877831328 |
Citazione: | Nonlocal semilinear evolution equations without strong compactness: theory and applications / Irene, Benedetti; Malaguti, Luisa; Taddei, Valentina. - In: BOUNDARY VALUE PROBLEMS. - ISSN 1687-2770. - ELETTRONICO. - 60(2013), pp. 1-18. |
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