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Parametrized Measures and Variational Principles (Progress in Nonlinear Differential Equations and Their Applications) by Pedregal, Pablo [Paperback ]

Pedregal, Pablo

Edit� par Birkhäuser (2012)

ISBN 10 : 3034898150 ISBN 13 : 9783034898157

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Description du livre Soft Cover. Etat : new. N� de r�f. du vendeur 9783034898157

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Parametrized Measures and Variational Principles (Progress in Nonlinear Differential Equations and Their Applications)

Pedregal, Pablo

Edit� par Birkh�user (2012)

ISBN 10 : 3034898150 ISBN 13 : 9783034898157

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Description du livre Etat : New. N� de r�f. du vendeur ABLIING23Mar3113020039012

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Parametrized Measures and Variational Principles

Pedregal, Pablo

Edit� par Birkh�user (2012)

ISBN 10 : 3034898150 ISBN 13 : 9783034898157

Neuf Couverture souple Quantit� disponible : 5

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Description du livre Etat : New. N� de r�f. du vendeur 19850707-n

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Parametrized Measures and Variational Principles

Pablo Pedregal

Edit� par Birkhäuser (2012)

ISBN 10 : 3034898150 ISBN 13 : 9783034898157

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Description du livre Etat : New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. N� de r�f. du vendeur ria9783034898157_lsuk

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Parametrized Measures and Variational Principles

Pedregal, Pablo

Edit� par Birkhauser 2012-10 (2012)

ISBN 10 : 3034898150 ISBN 13 : 9783034898157

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Description du livre PF. Etat : New. N� de r�f. du vendeur 6666-IUK-9783034898157

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Parametrized Measures and Variational Principles

Pablo Pedregal

Edit� par Springer, Basel, Birkh�user Basel, Birkh�user Okt 2012 (2012)

ISBN 10 : 3034898150 ISBN 13 : 9783034898157

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Description du livre Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Weak convergence is a basic tool of modern nonlinear analysis because it enjoys the same compactness properties that finite dimensional spaces do: basically, bounded sequences are weak relatively compact sets. Nonetheless, weak conver gence does not behave as one would desire with respect to nonlinear functionals and operations. This difficulty is what makes nonlinear analysis much harder than would normally be expected. Parametrized measures is a device to under stand weak convergence and its behavior with respect to nonlinear functionals. Under suitable hypotheses, it yields a way of representing through integrals weak limits of compositions with nonlinear functions. It is particularly helpful in comprehending oscillatory phenomena and in keeping track of how oscilla tions change when a nonlinear functional is applied. Weak convergence also plays a fundamental role in the modern treatment of the calculus of variations, again because uniform bounds in norm for se quences allow to have weak convergent subsequences. In order to achieve the existence of minimizers for a particular functional, the property of weak lower semicontinuity should be established first. This is the crucial and most delicate step in the so-called direct method of the calculus of variations. A fairly large amount of work has been devoted to determine under what assumptions we can have this lower semicontinuity with respect to weak topologies for nonlin ear functionals in the form of integrals. The conclusion of all this work is that some type of convexity, understood in a broader sense, is usually involved. 212 pp. Englisch. N� de r�f. du vendeur 9783034898157

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