An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L/
Katzourakis, Nikos
An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L/ - New York: Springer,
General Theory
History, Examples, Motivation and First Definitions
Second Definitions and Basic Analytic Properties of the Notions
Stability Properties of the Notions and Existence via Approximation
Mollification of Viscosity Solutions and Semiconvexity
Existence of Solution to the Dirichlet Problem via Perron’s Method
Comparison Results and Uniqueness of Solution to the Dirichlet Problem
Applications
Minimisers of Convex Functionals and Existence of Viscosity Solutions to the Euler-Lagrange PDE
Existence of Viscosity Solutions to the Dirichlet Problem for the ∞∞-Laplacian
Miscellaneous Topics and Some Extensions of the Theory
978-3-319-12829-0
An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L/ - New York: Springer,
General Theory
History, Examples, Motivation and First Definitions
Second Definitions and Basic Analytic Properties of the Notions
Stability Properties of the Notions and Existence via Approximation
Mollification of Viscosity Solutions and Semiconvexity
Existence of Solution to the Dirichlet Problem via Perron’s Method
Comparison Results and Uniqueness of Solution to the Dirichlet Problem
Applications
Minimisers of Convex Functionals and Existence of Viscosity Solutions to the Euler-Lagrange PDE
Existence of Viscosity Solutions to the Dirichlet Problem for the ∞∞-Laplacian
Miscellaneous Topics and Some Extensions of the Theory
978-3-319-12829-0