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Self-dual Partial Differential Systems and Their Variational Principles

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Cover of 'Self-dual Partial Differential Systems and Their Variational Principles'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Legendre-Fenchel Duality on Phase Space
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    Chapter 3 Self-dual Lagrangians on Phase Space
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    Chapter 4 Skew-Adjoint Operators and Self-dual Lagrangians
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    Chapter 5 Self-dual Vector Fields and Their Calculus
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    Chapter 6 Variational Principles for Completely Self-dual Functionals
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    Chapter 7 Semigroups of Contractions Associated to Self-dual Lagrangians
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    Chapter 8 Iteration of Self-dual Lagrangians and Multiparameter Evolutions
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    Chapter 9 Direct Sum of Completely Self-dual Functionals
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    Chapter 10 Semilinear Evolution Equations with Self-dual Boundary Conditions
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    Chapter 11 The Class of Antisymmetric Hamiltonians
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    Chapter 12 Variational Principles for Self-dual Functionals and First Applications
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    Chapter 13 The Role of the Co-Hamiltonian in Self-dual Variational Problems
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    Chapter 14 Direct Sum of Self-dual Functionals and Hamiltonian Systems
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    Chapter 15 Superposition of Interacting Self-dual Functionals
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    Chapter 16 Hamiltonian Systems of Partial Differential Equations
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    Chapter 17 The Self-dual Palais-Smale Condition for Noncoercive Functionals
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    Chapter 18 Navier-Stokes and other Self-dual Nonlinear Evolutions
Attention for Chapter 10: Semilinear Evolution Equations with Self-dual Boundary Conditions
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