Gårding cones and Bellman equations in the theory of Hessian operators and equations

N. M. Ivochkina ; N. V. Filimonenkova

Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 63 (2017) no. 4, pp. 615-626

Résumé

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

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