Stability results for doubly nonlinear differential inclusions by variational convergence
Analysis of PDEs
2013-02-19 v1
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.
Cite
@article{arxiv.1302.3948,
title = {Stability results for doubly nonlinear differential inclusions by variational convergence},
author = {Thomas Roche and Riccarda Rossi and Ulisse Stefanelli},
journal= {arXiv preprint arXiv:1302.3948},
year = {2013}
}