Periodic solutions for doubly nonlinear evolution equations (Articolo in rivista)

Type
Label
  • Periodic solutions for doubly nonlinear evolution equations (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.jde.2011.04.014 (literal)
Alternative label
  • Akagi G., Stefanelli U. (2011)
    Periodic solutions for doubly nonlinear evolution equations
    in Journal of differential equations (Print); Elsevier Inc., San Diego (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Akagi G., Stefanelli U. (literal)
Pagina inizio
  • 1790 (literal)
Pagina fine
  • 1812 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0022039611001574 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 251 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 7 (literal)
Note
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Shibaura Institute of Technology, 307 Fukasaku, Minuma-ku, Saitama-shi, Saitama 337-8570, Japan; Istituto di Matematica Applicata e Tecnologie Infromatiche, Consiglio Nazionale delle Ricerche, V. Ferrata 1, I-27100 Pavia, Italy (literal)
Titolo
  • Periodic solutions for doubly nonlinear evolution equations (literal)
Abstract
  • We discuss the existence of periodic solution for the doubly nonlinear evolution equation A(u'(t))+??(u(t))?f(t) governed by a maximal monotone operator A and a subdifferential operator ? ? in a Hilbert space H. As the corresponding Cauchy problem cannot be expected to be uniquely solvable, the standard approach based on the PoincarĂ© map may genuinely fail. In order to overcome this difficulty, we firstly address some approximate problems relying on a specific approximate periodicity condition. Then, periodic solutions for the original problem are obtained by establishing energy estimates and by performing a limiting procedure. As a by-product, a structural stability analysis is presented for the periodic problem and an application to nonlinear PDEs is provided (literal)
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