We investigate the asymptotics of obstacle problems for non-local energies in a vector-valued setting. Motivations arise, in particular, in phase field models for ferroelectric materials and variational theories for dislocations.
Vector-valued obstacle problems for non-local energies / M. Focardi. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - STAMPA. - 17:(2012), pp. 487-507. [10.3934/dcdsb.2012.17.487]
Vector-valued obstacle problems for non-local energies
FOCARDI, MATTEO
2012
Abstract
We investigate the asymptotics of obstacle problems for non-local energies in a vector-valued setting. Motivations arise, in particular, in phase field models for ferroelectric materials and variational theories for dislocations.
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