Well-posedness for degenerate elliptic PDE arising in optimal learning strategies

IF 1.2 4区数学 Q1 MATHEMATICS

Interfaces and Free Boundaries Pub Date : 2019-05-20 DOI:10.4171/ifb/434

Tim Laux, J. M. Villas-Boas

引用次数: 0

Abstract

We derive a comparison principle for a degenerate elliptic partial differential equation without boundary conditions which arises naturally in optimal learning strategies. Our argument is direct and exploits the degeneracy of the differential operator to construct (logarithmically) diverging barriers.

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最优学习策略中退化椭圆偏微分方程的适定性

针对最优学习策略中常见的无边界条件的退化椭圆型偏微分方程，导出了一个比较原理。我们的论证是直接的，并利用微分算子的退化来构造(对数)发散障碍。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Interfaces and Free Boundaries 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Interfaces and Free Boundaries is dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems in all areas where such phenomena are pertinent. The journal aims to be a forum where mathematical analysis, partial differential equations, modelling, scientific computing and the various applications which involve mathematical modelling meet. Submissions should, ideally, emphasize the combination of theory and application.