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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)
  6. Semilinear evolution equations in abstract spaces and applications
 
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Semilinear evolution equations in abstract spaces and applications

Benedetti, Irene
•
Malaguti, Luisa
•
Taddei, Valentina
2012
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ISSN
0049-4704
http://hdl.handle.net/10077/8301
  • Article

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)
Subjects
  • semilinear multivalue...

  • mild solution

  • evolution system

  • continuation principl...

  • compact operator

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.
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en
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