Edge Singular Behavior for the Heat Equation on Polyhedral Cylinders in R3

被引：0
|
作者：
Kweon, Jae Ryong [1 ]
机构：
[1] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, Kyungpook, South Korea
来源：
POTENTIAL ANALYSIS | 2013年 / 38卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Edge singularity; Regularity; Stress intensity function; COMPRESSIBLE STOKES SYSTEM; DOMAINS;
D O I：
10.1007/s11118-012-9288-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Heat equation in the polyhedral cylinder with a non-convex edge. We construct the singularity functions depending on the time and edge axis, and the coefficient of the singularity, called the stress intensity distributions, and show regularity results for the solution and the coefficient. The regularity is achieved in the (not weighted) Sobolev space in the L-2 and L (q) spaces, respectively. An application to the finite polyhedral cylinder is described.
引用
收藏
页码：589 / 610
页数：22
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