Calculus of Variations and Geometric Measure Theory

T. Roche - R. Rossi - U. Stefanelli

Stability results for doubly nonlinear differential inclusions by variational convergence

created by rossi on 16 Feb 2013


Submitted Paper

Inserted: 16 feb 2013
Last Updated: 16 feb 2013

Year: 2013


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.