Self-dual partial differential systems and their variational principles /
Based on recent research by the author and his graduate students, Abbas Moameni, Leo Tzou, and Ramon Zarate, this text describes novel variational formulations and resolutions of a large class of partial differential equations and evolutions, many of which are not amenable to the methods of classica...
| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer,
c2008
New York ; London : 2008 New York ; London : 2009 New York ; London : 2008 |
| Series: | Springer monographs in mathematics
Springer monographs in mathematics |
| Subjects: |
| Summary: | Based on recent research by the author and his graduate students, Abbas Moameni, Leo Tzou, and Ramon Zarate, this text describes novel variational formulations and resolutions of a large class of partial differential equations and evolutions, many of which are not amenable to the methods of classical calculus of variations. While it contains recent research material, the general and unifying framework of the approach, its versatility in solving a disparate set of equations, and its reliance on basic functional analytic principles, makes it suitable for an intermediate level graduate course. The applications, however, require a fair knowledge of clasical analysis and PDEs which is needed to make judicious choices of function spaces where the self-dual variational principles apply. It is the author's hope that this material will become standard for all graduate students interested in convexity methods for PDEs |
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| Physical Description: | xiv, 354 p. : ill. ; 24 cm xiv, 354 p. ; 25 cm xiv, 354 pages ; 25 cm |
| Bibliography: | Includes bibliographical references (p. 345-351) and index Includes bibliographical references (pages 345-351) and index |
| ISBN: | 0387848967 (hbk.) 0387848967 9780387848969 (hbk.) 9780387848969 |