抛物型非线性方程的渐近均值公式

IF 0.6 4区数学 Q3 MATHEMATICS

Revista De La Union Matematica Argentina Pub Date : 2021-06-01 DOI:10.33044/revuma.3169

P. Blanc, Fernando Charro, J. Manfredi, J. Rossi

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引用次数: 2

摘要

．本文用渐近均值公式描述了非线性抛物型方程(包括抛物型Monge-Amp 'ere方程)的粘度解。我们的渐近均值公式可以从概率的角度来解释，根据动态规划原则，为某些双人，零和游戏。

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Asymptotic mean value formulas for parabolic nonlinear equations

. In this paper we characterize viscosity solutions to nonlinear parabolic equations (including parabolic Monge–Amp`ere 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.

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来源期刊

Revista De La Union Matematica Argentina MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.