Počet záznamů: 1
Relaxation in Optimization Theory and Variational Calculus
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SYSNO ASEP 0536072 Druh ASEP B - Monografie Zařazení RIV B - Odborná monografie, kniha Název Relaxation in Optimization Theory and Variational Calculus Tvůrce(i) Roubíček, Tomáš (UT-L) RID, ORCID Celkový počet autorů 1 Vyd. údaje Berlin: Walter de Gruyter, 2020 ISBN 978-3-11-058962-7 ISSN 0941-813X Edice De Gruyter Series in Nonlinear Analysis and Applications Č. sv. edice 4 Poč.str. 474 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. DE - Německo Vydání 2nd Edition Klíč. slova continuous extenstions ; convex compactifications ; young measures ; optimal control ; partial differential equations ; variational problems Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics CEP GA19-04956S GA ČR - Grantová agentura ČR Institucionální podpora UT-L - RVO:61388998 DOI 10.1515/9783110590852 Anotace In this monograph, relaxation means an extension of optimization or variational problems in a certain natural way, typically by some continuity. Beside compactness, also convexity is the main attribute of the extended (so-called relaxed) problems,which yields existence and stability of their solutions as well as optimality conditions, or allows for using some fixed-point theorems, especially in noncooperative game theory. The book offers an exposition of an original abstract theory of convex compactifications and of application to various concrete problems in optimal control and calculus of variations. Classical Young measures and their numerous generalizations are used to capture various fast oscillation and possibly concentration phenomena in the limits. In particular, one can construct convex locally compact metrizable envelopes of Lebesgue spaces, typically occuring in original (nonrelaxed) problems and here embedded densely into such envelopes. Also numerical aspects are pursued. This new edition reflects in particular also the achievements within quarter a century that passed from the first edition. Many improvements of the presentation and expansions have been added, too. Pracoviště Ústav termomechaniky Kontakt Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Rok sběru 2021 Elektronická adresa https://www.degruyter.com/view/title/537021
Počet záznamů: 1