Self-dual Partial Differential Systems and Their Variational Principles by Nassif Ghoussoub

Self-dual Partial Differential Systems and Their Variational Principles



Download Self-dual Partial Differential Systems and Their Variational Principles




Self-dual Partial Differential Systems and Their Variational Principles Nassif Ghoussoub
Language: English
Page: 353
Format: pdf
ISBN: 0387848967, 9780387848969
Publisher: Springer

This text is intended for a beginning graduate course on convexity methods for PDEs. The generality chosen by the author puts this under the classification of “functional analysis”. 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, and these choices necessarily require prior knowledge of the expected regularity of the (weak) solutions. While this text contains many new results, it is the author’s hope that this material will soon become standard for all graduate students.

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