Display Abstract
Title Comparison of rate independent evolution problems in BV
Name Vincenzo Recupero
Country Italy
Email vincenzo.recupero@polito.it
Co-Author(s)
Submit Time 2013-12-14 02:35:26
Session
Special Session 91: Variational methods for evolution equations
Contents
We consider some classes of rate independent evolution processes in the space of functions of bounded variation. We compare the related notions of solutions and we study the continuity properties of their solution operators. In the finite dimensional case we provide a geometrical characterization of the cases when these notions coincide. We briefly discuss the infinite dimensional case. References. [1] V. Recupero, BV solutions of rate independent variational inequalities, Ann. Sc. Norm. Super. Pisa Cl. Sc. (5), 10 (2011), 269--315. [2] V. Recupero: A continuity method for sweeping processes, J. Differential Equations, 251 (2011), 2125--2142. [3] P. Krej\v c\'i, V. Recupero: Comparing BV solutions of rate independent processes, to appear in J. Convex Anal. [4] P. Krej\v c\'i, V. Recupero: BV solutions of rate independent differential inclusions, preprint.
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