These lectures present the most basic theory of" viscosity solutions" of fully nonlinear scalar
partial differential equations of first and second order. Other contributions to this volume …

The notion of viscosity solutions of scalar fully nonlinear partial differential equations of
second order provides a framework in which startling comparison and uniqueness …

This book is an introduction to optimal stochastic control for continuous time Markov
processes and the theory of viscosity solutions. It covers dynamic programming for …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus
of Variations | SpringerLink Skip to main content Advertisement Springer Nature Link Account …

The main objective of this book is to give an overview of the theory of Hamilton–Jacobi–
Bellman (HJB) partial differential equations (PDEs) in infinite-dimensional Hilbert spaces …

In this paper, we analyze the geometric active contour models discussed previously from a
curve evolution point of view and propose some modifications based on gradient flows …

There are several interesting examples of equations governing motion of hypersurfaces
bounding two phases of materials in various sciences. Such a hypersurface is called an …

The aim of this work is to revisit viscosity solutions' theory for second-order elliptic integro-
differential equations and to provide a general framework which takes into account solutions …

In this paper, we analyze geometric active contour models from a curve evolution point of
view and propose some modifications based on gradient flows relative to certain new …