FULLY NONLINEAR STOCHASTIC PARTIAL-DIFFERENTIAL EQUATIONS

In this Note, we propose a new theory of ''stochastic viscosity soluti ons'' for fully nonlinear stochastic partial differential equations. T his theory allows to handle a large class of equations which covers in particular various applications such as models of phase transitions a nd front propagation in random media and pathwise stochastic control. These applications will be detailed in a subsequent note. (C) Academie des Sciences/Elsevier, Paris.