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Unbounded functionals in the calculus of variations : representation, relaxation, and homogenization

Author: L Carbone; Riccardo de Arcangelis
Publisher: Boca Raton, FL : Chapman & Hall/CRC, [©2002?]
Series: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, 125.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Develops the framework of a general theory of integral representation, relaxation, and homogenization for unbounded functionals.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: L Carbone; Riccardo de Arcangelis
ISBN: 1584882352 9781584882350
OCLC Number: 48092285
Description: xiii, 394 pages ; 25 cm.
Contents: 1. Elements of convex analysis --
2. Elements of measure and increasing set functions theories --
3. Minimization methods and variational convergences --
4. BV and Sobolev spaces --
5. Lower semicontinuity and minimization of integral functionals --
6. Classical results and mathematical models originating unbounded functionals --
7. Abstract regularization and Jensen's inequality --
8. Unique extension results --
9. Integral representation for unbounded functionals --
10. Relaxation of unbounded functionals --
11. Cut-off functions and partitions of unity --
12. Homogenization of unbounded functionals --
13. Homogenizaiton of unbounded functionals with special constraints --
14. Some explicit computations of homogenized energies in mathematical models originating unbounded functionals.
Series Title: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, 125.
Responsibility: Luciano Carbone, Riccardo De Arcangelis.
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