Evolutionary problems in non-reflexive spaces
ESAIM: Control, Optimisation and Calculus of Variations, Volume 16 (2010) no. 1, pp. 1-22.

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.

DOI: 10.1051/cocv:2008060
Classification: 49J45, 35B05, 74G65
Keywords: concentrations, energetic solution, energies with linear growth, oscillations, relaxation
     author = {Kru\v{z}{\'\i}k, Martin and Zimmer, Johannes},
     title = {Evolutionary problems in non-reflexive spaces},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1--22},
     publisher = {EDP-Sciences},
     volume = {16},
     number = {1},
     year = {2010},
     doi = {10.1051/cocv:2008060},
     mrnumber = {2598085},
     zbl = {1183.49015},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/cocv:2008060/}
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UR  - http://archive.numdam.org/articles/10.1051/cocv:2008060/
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Kružík, Martin; Zimmer, Johannes. Evolutionary problems in non-reflexive spaces. ESAIM: Control, Optimisation and Calculus of Variations, Volume 16 (2010) no. 1, pp. 1-22. doi : 10.1051/cocv:2008060. http://archive.numdam.org/articles/10.1051/cocv:2008060/

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