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Self-dual Partial Differential Systems and Their Variational Principles
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 cont...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2009.
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| Edición: | 1st ed. 2009. |
| Colección: | Springer Monographs in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Convex Analysis on Phase Space
- 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
- Completely Self-Dual Systems and their Lagrangians
- 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 Equations with Self-dual Boundary Conditions
- Self-Dual Systems and their Antisymmetric Hamiltonians
- 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
- Perturbations of Self-Dual Systems
- Hamiltonian Systems of Partial Differential Equations
- The Self-dual Palais-Smale Condition for Noncoercive Functionals
- Navier-Stokes and other Self-dual Nonlinear Evolutions.