Quantitative Homogenization for the Obstacle Problem and Its Free Boundary.

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2024-01-01 Epub Date: 2024-08-18 DOI:10.1007/s00205-024-02015-6

Gohar Aleksanyan, Tuomo Kuusi

引用次数: 0

Abstract

In this manuscript we prove quantitative homogenization results for the obstacle problem with bounded measurable coefficients. As a consequence, large-scale regularity results both for the solution and the free boundary for the heterogeneous obstacle problem are derived.

Abstract Image

查看原文本刊更多论文

障碍问题及其自由边界的定量均质化

在本手稿中，我们证明了具有有界可测系数的障碍问题的定量同质化结果。因此，我们推导出了异质障碍问题的解和自由边界的大规模正则性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.