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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.

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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.

Details

Item Type Articles
CreatorsKruzik, M.and Zimmer, J.
DOI10.1051/cocv:2008060
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code18304

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