论文标题

惩罚边界障碍问题的规律性结果

Regularity results for a penalized boundary obstacle problem

论文作者

Danielli, Donatella, Jain, Rohit

论文摘要

在本文中,我们关注的是两型边界障碍物在热液,流体动力学和电力中感兴趣的问题。具体而言,我们证明了解决方案的存在,独特性和最佳规律性,并建立了自由边界的结构特性。

In this paper we are concerned with a two-penalty boundary obstacle problem of interest in thermics, fluid dynamics and electricity. Specifically, we prove existence, uniqueness and optimal regularity of the solutions, and we establish structural properties of the free boundary.

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