Evolutionary problems in non-reflexive spaces

Reference:

Kruzik, M. and Zimmer, J., 2010. Evolutionary problems in non-reflexive spaces. Esaim-Control Optimisation and Calculus of Variations, 16 (1), pp. 1-22.

Related documents:

Official URL:

http://dx.doi.org/10.1051/cocv:2008060

Abstract

Rate-independent problems are considered, where the stored energy density is a function of the gradient. The stored energy density may not be quasiconvex and is assumed to grow linearly. Moreover, arbitrary behaviour at infinity is allowed. In particular, the stored energy density is not required to coincide at infinity with a positively 1-homogeneous function. The existence of a rate-independent process is shown in the so-called energetic formulation.

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