http://www.cnr.it/ontology/cnr/individuo/prodotto/ID240144
Stability results for doubly nonlinear differential inclusions by variational convergence (Articolo in rivista)
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- Stability results for doubly nonlinear differential inclusions by variational convergence (Articolo in rivista) (literal)
- Anno
- 2012-01-01T00:00:00+01:00 (literal)
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- Thomas Roche; Riccarda Rossi; Ulisse Stefanelli (literal)
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- http://semmat.dmf.unicatt.it/cgi-bin/preprintserv/semmat/Quad2012n20 (literal)
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- Rivista
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- Department of Mathematics / M6, Technische Universität München, Germany; Dipartimento di Matematica, Università di Brescia, Italy;
Ulisse Stefanelli, Istituto di Matematica Applicata e Tecnologie Informatiche E. Magenes - CNR, Pavia, Italy (literal)
- Titolo
- Stability results for doubly nonlinear differential inclusions by variational convergence (literal)
- Abstract
- We present a stability result for a wide class doubly nonlinear equations, featuring
general maximal monotone operators, and (possibly) nonconvex and nonsmooth energy
functionals. The limit analysis resides on the reformulation of the differential evolution as a scalar energy-conservation equation with the aid of the so-called Fitzpatrick theory for the representation of monotone operators. In particular, our result applies to the vanishing viscosity approximation of rate-independent systems. (literal)
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