Relaxation in Optimization Theory and Variational Calculus
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F20%3A00536072" target="_blank" >RIV/61388998:_____/20:00536072 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyter.com/view/title/537021" target="_blank" >https://www.degruyter.com/view/title/537021</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/9783110590852" target="_blank" >10.1515/9783110590852</a>
Alternative languages
Result language
angličtina
Original language name
Relaxation in Optimization Theory and Variational Calculus
Original language description
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.
Czech name
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Czech description
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Classification
Type
B - Specialist book
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA19-04956S" target="_blank" >GA19-04956S: Dynamic and nonlinear behaviour of smart structures; modelling and optimization</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
ISBN
978-3-11-058962-7
Number of pages
474
Publisher name
Walter de Gruyter
Place of publication
Berlin
UT code for WoS book
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