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Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems - new book

ISBN: 9783642093296

Hilbert''s talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, bro… More...

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Variational Methods : Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems - Michael Struwe
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Michael Struwe:

Variational Methods : Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems - Paperback

2010, ISBN: 3642093299

[EAN: 9783642093296], New book, [SC: 14.3], [PU: Springer Berlin Heidelberg], CALCULUSOFVARIATIONS; HAMILTONIANSYSTEMS; MATHEMATICALPHYSICS; PARTIALDIFFERENTIALEQUATIONS; PLATEAU'SPROBLEM… More...

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Variational Methods Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems - Struwe, Michael
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Struwe, Michael:
Variational Methods Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems - Paperback

2010

ISBN: 3642093299

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Softcover reprint of hardcover 4th ed. 2008 Kartoniert / Broschiert Mathematische Analysis, allgemein, Variationsrechnung, Optimierung, CalculusofVariations; Hamiltoniansystems; mathema… More...

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Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems - Struwe, Michael
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Struwe, Michael:
Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems - Paperback

2010, ISBN: 9783642093296

Springer-Verlag GmbH, Taschenbuch, Auflage: Softcover reprint of hardcover 4th ed. 2008, 324 Seiten, Publiziert: 2010-10-19T00:00:00.000Z, Produktgruppe: Buch, Hersteller-Nr.: biography, … More...

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Struwe, Michael:
Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems - Paperback

2010, ISBN: 9783642093296

Paperback, New., 302 p. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics , 34. XX, 302 p. Intended for professional and scholarly aud… More...

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Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
Author:
Title:
ISBN:

9783642093296


This, the fourth edition of Stuwe's book on the calculus of variations, surveys new developments in this exciting field. It also gives a concise introduction to variational methods. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. A number of changes have been made throughout the text.

Details of the book - Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems


EAN (ISBN-13): 9783642093296
ISBN (ISBN-10): 3642093299
Hardcover
Paperback
Publishing year: 2010
Publisher: Springer-Verlag GmbH
324 Pages
Weight: 0,491 kg
Language: eng/Englisch

Book in our database since 2011-06-28T17:10:31+01:00 (London)
Detail page last modified on 2022-06-14T09:33:47+01:00 (London)
ISBN/EAN: 9783642093296

ISBN - alternate spelling:
3-642-09329-9, 978-3-642-09329-6
Alternate spelling and related search-keywords:
Book author: struwe
Book title: variational methods, mathematik, surveys modern mathematics, nonlinear systems, nonlinear partial, modern methods partial differential equations

Information from Publisher

Author: Michael Struwe
Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics; Variational Methods - Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
Publisher: Springer; Springer Berlin
302 Pages
Publishing year: 2010-10-19
Berlin; Heidelberg; DE
Printed / Made in
Language: English
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
POD
XX, 302 p.

BC; Hardcover, Softcover / Mathematik/Sonstiges; Kybernetik und Systemtheorie; Verstehen; Calculus of Variations; Hamiltonian Systems; Mathematical Physics; Partial Differential Equations; Plateau's problem; calculus; compactness; differential equation; minimum; partial differential equation; Systems Theory, Control; Calculus of Variations and Optimization; Analysis; Optimierung; Mathematische Analysis, allgemein; BB

The Direct Methods in the Calculus of Variations.- Lower Semi-Continuity.- Constraints.- Compensated Compactness.- The Concentration-Compactness Principle.- Ekeland's Variational Principle.- Duality.- Minimization Problems Depending on Parameters.- Minimax Methods.- The Finite Dimensional Case.- The Palais-Smale Condition.- A General Deformation Lemma.- The Minimax Principle.- Index Theory.- The Mountain Pass Lemma and its Variants.- Perturbation Theory.- Linking.- Parameter Dependence.- Critical Points of Mountain Pass Type.- Non-Differentiable Functionals.- Ljusternik-Schnirelman Theory on Convex Sets.- Limit Cases of the Palais-Smale Condition.- Pohozaev's Non-Existence Result.- The Brezis-Nierenberg Result.- The Effect of Topology.- The Yamabe Problem.- The Dirichlet Problem for the Equation of Constant Mean Curvature.- Harmonic Maps of Riemannian Surfaces.- Appendix A.- Appendix B.- Appendix C.- References.- Index.
Gives a concise introduction to the field of Variational Methods and presents an overview of areas of current research in this field It is a valuable source of reference for advanced students and researchers in the currently very active field of variational methods The 4th edition now includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up Smaller changes throughout the text have been made and references have been updated
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