GARDING CONES AND BELLMAN EQUATIONS IN THE THEORY OF HESSIAN OPERATORS AND EQUATIONS

摘要

In this work, we continue the investigation of algebraic properties of G?rding cones in the space of symmetric matrices. Based on this theory, we propose a new approach to study fully nonlinear differential operators and second-order partial differential equations. We prove comparison theorems of a new type for evolution Hessian operators and establish a relation between Hessian and Bellman equations.