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Self-dual Partial Differential Systems and Their Variational Principles

Nassif Ghoussoub
Publisher: 
Springer
Publication Date: 
2009
Number of Pages: 
354
Format: 
Hardcover
Series: 
Springer Monographs in Mathematics
Price: 
69.95
ISBN: 
9780387848969
We do not plan to review this book.

Preface.- Introduction.- Legendre-Fenchel Duality on Phase Space.- Self-dual Lagrangians on Phase Space.- Skew-adjoint Operators and Self-dual Lagrangians.- Self-dual Vector Fields and Their Calculus.- Variational Principles for Completely Self-dual Functionals.- Semigroups of Contractions Associated to Self-dual Lagrangians.- Iteration of Self-dual Lagrangians and Multiparameter Evolutions.- Direct Sum of Completely Self-dual Functionals.- Semilinear Evolution with Self-dual Boundary Conditions.- The Class of Antisymmetric Hamiltonians.- Variational Principles for Self-dual Functionals and First Applications.- The Role of the Co-Hamiltonian in Self-dual Variational Problems.- Direct Sum of Self-dual Functionals and Hamiltonian Systems.- Superposition of Interacting Self-dual Functionals.- Hamiltonian Systems of Partial Differential Equations.- The Self-dual Palais-Smale Condition for Noncoercive Functionals.- Navier-Stokes and other Self-dual Nonlinear Evolutions.- References.

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