The volume comprises five extended surveys on the recent theory of
viscosity solutions of fully nonlinear partial differential equations,
and some of its most relevant applications to optimal control theory for
deterministic and stochastic systems, front propagation, geometric
motions and mathematical finance. The volume forms a state-of-the-art
reference on the subject of viscosity solutions, and the authors are
among the most prominent specialists. Potential readers are researchers
in nonlinear PDE's, systems theory, stochastic processes.