Self-Dual Partial Differential Systems and Their Variational Principles
Nassif Ghoussoub
Gebundenes Buch

Self-Dual Partial Differential Systems and Their Variational Principles

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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 knowled...