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Bibliography

Journal Article

Evolutionary problems in non-reflexive spaces

Kružík Martin, Zimmer J.

: ESAIM-Control Optimisation and Calculus of Variations vol.16, 1 (2010), p. 1-22

: CEZ:AV0Z10750506

: IAA1075402, GA AV ČR

: concentrations, energetic solution, energies with linear growth, oscillations, relaxation

: 10.1051/cocv:2008060

: http://library.utia.cas.cz/separaty/2008/MTR/kruzik-evolutionary problems in non-reflexive spaces.pdf

(eng): 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.

(cze): 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.

: BA

2019-01-07 08:39