Evolutionary problems in non-reflexive spaces

M Kruzik, J Zimmer

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4 Citations (Scopus)
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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.
Original languageEnglish
Pages (from-to)1-22
Number of pages22
JournalEsaim-Control Optimisation and Calculus of Variations
Volume16
Issue number1
Early online date21 Oct 2008
DOIs
Publication statusPublished - Jan 2010

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Energy Density
Rate-independent Processes
Infinity
Homogeneous Function
Quasiconvex
Linearly
Gradient
Formulation
Arbitrary

Cite this

Evolutionary problems in non-reflexive spaces. / Kruzik, M; Zimmer, J.

In: Esaim-Control Optimisation and Calculus of Variations, Vol. 16, No. 1, 01.2010, p. 1-22.

Research output: Contribution to journalArticle

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