On certain convex compactifications for relaxation in evolution problems
Author(s) -
Tomáš Roubı́ček
Publication year - 2010
Publication title -
discrete and continuous dynamical systems - s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2011.4.467
Subject(s) - mathematics , quasistatic process , parameterized complexity , regular polygon , pure mathematics , relaxation (psychology) , convex analysis , lebesgue integration , mathematical analysis , convex optimization , combinatorics , physics , geometry , psychology , social psychology , quantum mechanics
A general-topological construction of limits of inverse systems is applied to convex compactifications and furthermore to special convex compactifications of Lebesgue-space-valued functions parameterized by time. Application to relaxation of quasistatic evolution in phase-change-type problems is outlined.
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