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An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs (Publications of the Scuola Normale Superiore, 11) - Softcover
Synopsis
This volume covers the regularity theory for elliptic systems. Ideal for students, it illustrates basic ideas and techniques and serves as an excellent introduction to the subject. Suitable for a 2-semester course on PDEs.
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From the Back Cover
This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 in Paris:
19th problem: Are the solutions to regular problems in the Calculus of Variations always necessarily analytic?
20th problem: does any variational problem have a solution,...
About the Author
Mariano Giaquinta is an Italian mathematician mainly known for his contributions to the fields of calculus of variations, regularity theory of partial differential equation. He is currently professor of mathematics at the Scuola Normale Superiore di Pisa [1] [2] and he is the director of De Giorgi center at Pisa. Luca Martinazzi is professor of mathematics at the University of Basel, Switzerland.
"About this title" may belong to another edition of this title.
- PublisherEdizioni della Normale
- Publication date2012
- ISBN 10 8876424423
- ISBN 13 9788876424427
- BindingPaperback
- LanguageEnglish
- Edition number2
- Number of pages383
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An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs (Publications of the Scuola Normale Superiore, 11)
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Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
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Introduction to the Regularity Theory for Elliptic Systems,
Published by
Scuola Normale Superiore, 2012
ISBN 10: 8876424423
ISBN 13: 9788876424427
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An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
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Scuola Normale Superiore Nov 2012, 2012
ISBN 10: 8876424423
ISBN 13: 9788876424427
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 in Paris:19th problem: Are the solutions to regular problems in the Calculus of Variations always necessarily analytic 20th problem: does any variational problem have a solution, provided that certain assumptions regarding the given boundary conditions are satisfied, and provided that the notion of a solution is suitably extended During the last century these two problems have generated a great deal of work, usually referred to as regularity theory, which makes this topic quite relevant in many fields and still very active for research.However, the purpose of this volume, addressed mainly to students, is much more limited. We aim to illustrate only some of the basic ideas and techniques introduced in this context, confining ourselves to important but simple situations and refraining from completeness. In fact some relevant topics are omitted.Topics include: harmonic functions, direct methods, Hilbert space methods and Sobolev spaces, energy estimates, Schauder and L^p-theory both with and without potential theory, including the Calderon-Zygmund theorem, Harnack's and De Giorgi-Moser-Nash theorems in the scalar case and partial regularity theorems in the vector valued case; energy minimizing harmonic maps and minimal graphs in codimension 1 and greater than 1.In this second deeply revised edition we also included the regularity of 2-dimensional weakly harmonic maps, the partial regularity of stationary harmonic maps, and their connections with the case p=1 of the L^p theory, including the celebrated results of Wente and of Coifman-Lions-Meyer-Semmes. 384 pp. Englisch. Seller Inventory # 9788876424427
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Introduction to the Regularity Theory for Elliptic Systems,
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An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
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Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
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Introduction to the Regularity Theory for Elliptic Systems,
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ISBN 10: 8876424423
ISBN 13: 9788876424427
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An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
Published by
Scuola Normale Superiore, 2012
ISBN 10: 8876424423
ISBN 13: 9788876424427
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Taschenbuch
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 in Paris:19th problem: Are the solutions to regular problems in the Calculus of Variations always necessarily analytic 20th problem: does any variational problem have a solution, provided that certain assumptions regarding the given boundary conditions are satisfied, and provided that the notion of a solution is suitably extended During the last century these two problems have generated a great deal of work, usually referred to as regularity theory, which makes this topic quite relevant in many fields and still very active for research. However, the purpose of this volume, addressed mainly to students, is much more limited. We aim to illustrate only some of the basic ideas and techniques introduced in this context, confining ourselves toimportant but simple situations and refraining from completeness. In fact some relevant topics are omitted.Topics include: harmonic functions, direct methods, Hilbert space methods and Sobolev spaces, energy estimates, Schauder and L^p-theory both with and without potential theory, including the Calderon-Zygmund theorem, Harnack's and De Giorgi-Moser-Nash theorems in the scalar case and partial regularity theorems in the vector valued case; energy minimizing harmonic maps and minimal graphs in codimension 1 and greater than 1.In this second deeply revised edition we also included the regularity of 2-dimensional weakly harmonic maps, the partial regularity of stationary harmonic maps, and their connections with the case p=1 of the L^p theory, including the celebrated results of Wente and of Coifman-Lions-Meyer-Semmes. Seller Inventory # 9788876424427
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An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
Published by
Scuola Normale Superiore, 2012
ISBN 10: 8876424423
ISBN 13: 9788876424427
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Covers both classical and recent topics Very few prerequisites Excellent introduction to the subject Mariano Giaquinta is an Italian mathematician mainly known for his contributions to the fields of calculus of variations, regularit. Seller Inventory # 385949391
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