Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient, II: Solution regularity and asymptotics
Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient, II: Solution regularity and asymptotics
复制标题
变系数混合 BVP 的直接边域积分方程分析，II：解正则性和渐近性
DOI：
10.1216/jie-2010-22-1-19
复制
发表时间：
2010
影响因子：
0.8
通讯作者：
D. Natroshvili
中科院分区：
文献类型：
--
作者：
O. Chkadua;S. Mikhailov;D. Natroshvili
在Bessel势和Besov空间中研究了一些基于参数的表面势和体积势的映射和可逆性。这些结果，然后应用到推导的正则性和渐近解的边界域积分方程系统与一个混合边值问题的变系数偏微分方程，在附近的边界条件类型的变化曲线。
Mapping and invertibility properties of some parametrix-based surface and volume potentials are studied in Bessel-potential and Besov spaces. These results are then applied to derive regularity and asymptotics of the solution to a system of boundary-domain integral equations associated with a mixed BVP for a variablecoefficient PDE, in a vicinity of the curve of change of the boundary condition type.