Evolutionary problems in non-reflexive spaces
Corresponding address: Institute of Information
Theory and Automation, Academy of Sciences of the Czech
Republic, Pod vodárenskou věží 4,
182 08 Praha 8, Czech Republic.
2 Faculty of Civil Engineering, Czech Technical University, Thákurova 7, 166 29 Praha 6, Czech Republic. email@example.com
3 Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK. firstname.lastname@example.org
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.
Mathematics Subject Classification: 49J45 / 35B05 / 74G65
Key words: Concentrations / energetic solution / energies with linear growth / oscillations / relaxation
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