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- Title
Gårding Cones and Bellman Equations in the Theory of Hessian Operators and Equations.
- Authors
Ivochkina, N. M.; Filimonenkova, N. V.
- Abstract
In this work, we continue the investigation of algebraic properties of Gårding 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.
- Subjects
NONLINEAR partial differential operators; OPERATOR equations; OPERATOR theory; PARTIAL differential operators
- Publication
Journal of Mathematical Sciences, 2021, Vol 259, Issue 6, p833
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-021-05665-z