Hölder和测度核的积分-微分算子的harack估计

IF 0.9 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2025-01-24 DOI:10.1007/s10231-025-01546-3

Jingya Chen

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引用次数: 0

摘要

建立了一类以测度核的积分-微分算子为模型的椭圆型非局部方程弱解的Hölder和Harnack估计。该方法是De giorgi式的，由DiBenedetto、Gianazza和Vespri在当地环境中开发。我们的结果推广了Dyda和Kassmann的工作（Anal PDE 13(2):317-370, 2020）。

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Hölder and Harnack estimates for integro-differential operators with kernels of measure

We establish Hölder and Harnack estimates for weak solutions of a class of elliptic nonlocal equations that are modeled on integro-differential operators with kernels of measure. The approach is of De Giorgi-type, as developed by DiBenedetto, Gianazza and Vespri in a local setting. Our results generalize the work by Dyda and Kassmann (Anal PDE 13(2):317-370, 2020).

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.