Mathematik in den Naturwissenschaften Leipzig On the Regularity of a Free Boundary Near Contact Points With a Fixed Boundary
Mathematik in den Naturwissenschaften Leipzig On the Regularity of a Free Boundary Near Contact Points With a Fixed Boundary
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莱比锡自然科学中的数学关于固定边界接触点附近自由边界的正则性
DOI：
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发表时间：
2006
期刊：
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通讯作者：
J. Andersson
中科院分区：
文献类型：
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作者：
J. Andersson
本文研究了一类障碍物自由边界问题，在C边界条件下，自由边界与固定边界接触点附近的正则性。我们将证明，在对解和边界函数的某些假设下，自由边界到固定边界一致为C。我们还将构造一些不规则自由边界的例子。
We investigate the regularity of a free boundary near contact points with a fixed boundary, with C boundary data, for an obstacle-like free boundary problem. We will show that under certain assumptions on the solution, and the boundary function, the free boundary is uniformly C up to the fixed boundary. We will also construct some examples of irregular free boundaries.