"The subject of this monograph is related to the relationship between large classes of partial differential equations or evolutionary systems and energy functionals associated with them. Examples include transport equations, porous media equations, and Navier-Stokes evolution equations. ... This well-written book contains a large amount of material. It can be useful for graduate students and researchers interested in modern aspects of the calculus of variations with powerful applications to the qualitative analysis of partial differential equations." (Vicentiu D. Radulescu, zbMATH 1357.49004, 2017) "The subject of this monograph is related to the relationship between large classes of partial differential equations or evolutionary systems and energy functionals associated with them. ... This well-written book contains a large amount of material. It can be useful for graduate students and researchers interested in modern aspects of the calculus of variations with powerful applications to the qualitative analysis of partial differential equations." (Vicentiu Radulescu, Mathematical Reviews, Issue 2010 c)

• 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.

"The subject of this monograph is related to the relationship between large classes of partial differential equations or evolutionary systems and energy functionals associated with them. Examples include transport equations, porous media equations, and Navier-Stokes evolution equations. ... This well-written book contains a large amount of material. It can be useful for graduate students and researchers interested in modern aspects of the calculus of variations with powerful applications to the qualitative analysis of partial differential equations." (Vicentiu D. Radulescu, zbMATH 1357.49004, 2017) "The subject of this monograph is related to the relationship between large classes of partial differential equations or evolutionary systems and energy functionals associated with them. ... This well-written book contains a large amount of material. It can be useful for graduate students and researchers interested in modern aspects of the calculus of variations with powerful applications to the qualitative analysis of partial differential equations." (Vicentiu Radulescu, Mathematical Reviews, Issue 2010 c)

• 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.

"The subject of this monograph is related to the relationship between large classes of partial differential equations or evolutionary systems and energy functionals associated with them. Examples include transport equations, porous media equations, and Navier-Stokes evolution equations. ... This well-written book contains a large amount of material. It can be useful for graduate students and researchers interested in modern aspects of the calculus of variations with powerful applications to the qualitative analysis of partial differential equations." (Vicentiu D. Radulescu, zbMATH 1357.49004, 2017) "The subject of this monograph is related to the relationship between large classes of partial differential equations or evolutionary systems and energy functionals associated with them. ... This well-written book contains a large amount of material. It can be useful for graduate students and researchers interested in modern aspects of the calculus of variations with powerful applications to the qualitative analysis of partial differential equations." (Vicentiu Radulescu, Mathematical Reviews, Issue 2010 c)

• 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.