0000000000267058

AUTHOR

Fernando Charro

showing 2 related works from this author

Asymptotic mean value formulas for parabolic nonlinear equations

2021

In this paper we characterize viscosity solutions to nonlinear parabolic equations (including parabolic Monge–Ampère equations) by asymptotic mean value formulas. Our asymptotic mean value formulas can be interpreted from a probabilistic point of view in terms of dynamic programming principles for certain two-player, zero-sum games. peerReviewed

osittaisdifferentiaaliyhtälötasymptotic mean value formulasparabolic nonlinear equationsMathematics - Analysis of PDEsviscosity solutionsGeneral MathematicsFOS: MathematicsMathematics::Analysis of PDEsparabolic Monge–Ampère equationsAnalysis of PDEs (math.AP)
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Asymptotic Mean-Value Formulas for Solutions of General Second-Order Elliptic Equations

2022

Abstract We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obtained as an infimum, a supremum, or a combination of both infimum and supremum, of linear operators. The families of equations that we consider include well-known operators such as Pucci, Issacs, and k-Hessian operators.

osittaisdifferentiaaliyhtälötviscosity solutionsMathematics - Analysis of PDEsGeneral MathematicsFOS: MathematicsStatistical and Nonlinear Physicsmean-value formulasIssacs equationk-Hessian equationAnalysis of PDEs (math.AP)
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