In this paper we analyze a broad class of abstract doubly nonlinear evolution equa- tions in Banach spaces, driven by nonsmooth and nonconvex energies. We provide some general sufficient conditions, on the dissipation potential and the energy functional, for existence of solutions to the related Cauchy problem. We prove our main existence result by passing to the limit in a time-discretization scheme with variational techniques. Finally, we discuss an application to a material model in finite-strain elasticity.
Nonsmooth analysis of doubly nonlinear evolution equations
SAVARE', GIUSEPPE
2013-01-01
Abstract
In this paper we analyze a broad class of abstract doubly nonlinear evolution equa- tions in Banach spaces, driven by nonsmooth and nonconvex energies. We provide some general sufficient conditions, on the dissipation potential and the energy functional, for existence of solutions to the related Cauchy problem. We prove our main existence result by passing to the limit in a time-discretization scheme with variational techniques. Finally, we discuss an application to a material model in finite-strain elasticity.File in questo prodotto:
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