0313668 20240103190546.920081029235959.9 000274916000001 10.1051/cocv:2008060 22 s cav_un_epca*02578551292-8119161 (2010)1-22EDP Sciences concentrations energetic solution energies with linear growth oscillations relaxation cav_un_auth*0101142 Kružík Martin UTIA-B Department of Decision Making Theory Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0243187 Zimmer J. GB http://library.utia.cas.cz/separaty/2008/MTR/kruzik-evolutionary problems in non-reflexive spaces.pdf IAA1075402 GA AV ČR cav_un_auth*0012788 CEZ:AV0Z10750506 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. Studujeme rychlostne-nezavisle evolucni ulohy s ulozenou energii jako funkci defoformacniho gradientu.Hustota ulozene energie ma linearni rust v nekonecnu. Dokazeme existenci energetickeho reseni pro tento typ uloh. 2009 BA http://hdl.handle.net/11104/0164413 1.167 1.344 Q1 84.229 Q1 Q1 2010 000274916000001 WOS cav_un_epca*0257855 ESAIM-Control Optimisation and Calculus of Variations 1292-8119 1262-3377 Roč. 16 č. 1 2010 1 22 EDP Sciences