Free boundary partial regularity in the thin obstacle problem

Author:

Franceschini Federico1,Serra Joaquim1

Affiliation:

1. ETH Zürich Zürich Switzerland

Abstract

AbstractFor the thin obstacle problem in , , we prove that at all free boundary points, with the exception of a ‐dimensional set, the solution differs from its blow‐up by higher order corrections. This expansion entails a C1, 1‐type free boundary regularity result, up to a codimension 3 set.

Funder

European Research Council

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Reference23 articles.

1. F.Almgren Dirichlet's problem for multiple valued functions and the regularity of mass minimizing integral currents Minimal submanifolds and geodesics (Proc. Japan‐United States Sem. Tokyo 1977) North‐Holland Amsterdam‐New York 1979 pp.1–6.

2. Optimal regularity of lower dimensional obstacle problems;Athanasopoulos I.;Zap. Nauchn. Sem. S.‐Petersburg. Otdel. Mat. Inst. Steklov.,2004

3. The structure of the free boundary for lower dimensional obstacle problems

4. Direct Epiperimetric Inequalities for the Thin Obstacle Problem and Applications

5. Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3