书目名称 | Self-dual Partial Differential Systems and Their Variational Principles |
编辑 | Nassif Ghoussoub |
视频video | |
概述 | Contains plenty of examples and exercises.Includes new results which have not been previously presented in book form.Includes supplementary material: |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | .Based on recent research by the author and his graduate students, 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 the classical calculus of variations. While it contains many new results, 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 classical analysis and PDEs which is needed to make judicious choices of function spaces where the self-dual variational principles need to be applied. It is the author‘s hope that this material will become standard for all graduate students interested in convexity methods for PDEs... ..Nassif Ghoussoub is a Distinguished University Professor at the University of BritishColumbia. He was editor-in-chief of the Canadian Journal of Mathematics for the period 1993-2003, and has served on the editorial board of various international journals. He is the founding director of the Pacific Instit |
出版日期 | Textbook 2009 |
关键词 | differential equation; functional analysis; partial differential equation; perturbation; perturbation th |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-84897-6 |
isbn_softcover | 978-1-4419-2744-6 |
isbn_ebook | 978-0-387-84897-6Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer-Verlag New York 2009 |