论文标题

薄障碍问题:调查

The Thin Obstacle Problem: A Survey

论文作者

Fernández-Real, Xavier

论文摘要

在这项工作中,我们介绍了Signorini问题(或较薄的障碍问题)的一般介绍。这是一项独立的调查,旨在涵盖有关薄障碍问题的主要已知结果。我们提供了一些证据:从解决方案的最佳规律性和自由边界点的分类到对自由边界和通用规则性的非规范部分的最新结果。

In this work we present a general introduction to the Signorini problem (or thin obstacle problem). It is a self-contained survey that aims to cover the main currently known results regarding the thin obstacle problem. We present the theory with some proofs: from the optimal regularity of solutions and classification of free boundary points, to more recent results on the non-regular part of the free boundary and generic regularity.

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