Self-dual Partial Differential Systems and Their Variational Principles

Authors:

ISBN: 978-0-387-84896-9 (Print) 978-0-387-84897-6 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages I-XIV

  2. Introduction

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 1-22

      Introduction

  3. Convex Analysis on Phase Space

    1. Front Matter

      Pages 23-24

    2. No Access

      Book Chapter

      Pages 25-48

      Legendre-Fenchel Duality on Phase Space

    3. No Access

      Book Chapter

      Pages 49-65

      Self-dual Lagrangians on Phase Space

    4. No Access

      Book Chapter

      Pages 67-81

      Skew-Adjoint Operators and Self-dual Lagrangians

    5. No Access

      Book Chapter

      Pages 83-96

      Self-dual Vector Fields and Their Calculus

  4. Completely Self-Dual Systems and their Lagrangians

    1. Front Matter

      Pages 97-98

    2. No Access

      Book Chapter

      Pages 99-117

      Variational Principles for Completely Self-dual Functionals

    3. No Access

      Book Chapter

      Pages 119-145

      Semigroups of Contractions Associated to Self-dual Lagrangians

    4. No Access

      Book Chapter

      Pages 147-173

      Iteration of Self-dual Lagrangians and Multiparameter Evolutions

    5. No Access

      Book Chapter

      Pages 175-185

      Direct Sum of Completely Self-dual Functionals

    6. No Access

      Book Chapter

      Pages 187-201

      Semilinear Evolution Equations with Self-dual Boundary Conditions

  5. Self-Dual Systems and their Antisymmetric Hamiltonians

    1. Front Matter

      Pages 203-204

    2. No Access

      Book Chapter

      Pages 205-215

      The Class of Antisymmetric Hamiltonians

    3. No Access

      Book Chapter

      Pages 217-239

      Variational Principles for Self-dual Functionals and First Applications

    4. No Access

      Book Chapter

      Pages 241-251

      The Role of the Co-Hamiltonian in Self-dual Variational Problems

    5. No Access

      Book Chapter

      Pages 253-273

      Direct Sum of Self-dual Functionals and Hamiltonian Systems

    6. No Access

      Book Chapter

      Pages 275-283

      Superposition of Interacting Self-dual Functionals

  6. Perturbations of Self-Dual Systems

    1. Front Matter

      Pages 285-286

    2. No Access

      Book Chapter

      Pages 287-304

      Hamiltonian Systems of Partial Differential Equations

    3. No Access

      Book Chapter

      Pages 305-317

      The Self-dual Palais-Smale Condition for Noncoercive Functionals

    4. No Access

      Book Chapter

      Pages 319-344

      Navier-Stokes and other Self-dual Nonlinear Evolutions

  7. Back Matter

    Pages 345-354