Geodesic
Gårding cones and Bellman equations in the theory of Hessian operators and equations
Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 63 (2017) no. 4, pp. 615-626 
N. M. Ivochkina; N. V. Filimonenkova. Gårding cones and Bellman equations in the theory of Hessian operators and equations. Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 63 (2017) no. 4, pp. 615-626. http://geodesic.mathdoc.fr/item/CMFD_2017_63_4_a5/
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     author = {N. M. Ivochkina and N. V. Filimonenkova},
     title = {G\r{a}rding cones and {Bellman} equations in the theory of {Hessian} operators and equations},
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     url = {http://geodesic.mathdoc.fr/item/CMFD_2017_63_4_a5/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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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