http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31639
Periodic solutions for doubly nonlinear evolution equations (Articolo in rivista)
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- 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)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Akagi G., Stefanelli U. (literal)
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- http://www.sciencedirect.com/science/article/pii/S0022039611001574 (literal)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
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- 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 Poincaré 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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