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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)
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- 2014-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1137/130909391 (literal)
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Roche, Thomas; Rossi, Riccarda; Stefanelli, Ulisse (2014)
Stability results for doubly nonlinear differential inclusions by variational convergence
in SIAM journal on control and optimization (Print); Society for Industrial and Applied Mathematics, Philadelphia, PA (Stati Uniti d'America)
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- Roche, Thomas; Rossi, Riccarda; Stefanelli, Ulisse (literal)
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- http://epubs.siam.org/doi/abs/10.1137/130909391 (literal)
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- Technical University of Munich; University of Brescia; Consiglio Nazionale delle Ricerche (CNR); University of Vienna (literal)
- Titolo
- Stability results for doubly nonlinear differential inclusions by variational convergence (literal)
- Abstract
- We present a stability result for a wide class of doubly nonlinear equations, featuring general maximal monotone operators and (possibly) nonconvex and nonsmooth energy functionals. The limit analysis consists in 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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