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Semilinear evolution equations in abstract spaces and applications
Benedetti, Irene
Malaguti, Luisa
Taddei, Valentina
2012
Abstract
The existence of mild solutions is obtained, for a semilinear multivalued equation in a reflexive Banach space. Weakly compact
valued nonlinear terms are considered, combined with strongly continuous evolution operators generated by the linear part. A continuation
principle or a fixed point theorem are used, according to the various
regularity and growth conditions assumed. Applications to the study of
parabolic and hyperbolic partial differential equations are given.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Publisher
EUT Edizioni Università di Trieste
Source
Irene Benedetti, Luisa Malaguti and Valentina Taddei, "Semilinear evolution equations in abstract spaces and applications", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 371–388.
Languages
en
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