Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients
Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients
复制标题
变系数传输问题的一些局部边界域积分方程的分析
DOI：
10.1007/978-0-8176-8238-5_10
复制
发表时间：
2011
影响因子：
0.9
通讯作者：
D. Natroshvili
中科院分区：
文献类型：
--
作者：
O. Chkadua;S. Mikhailov;D. Natroshvili
针对由两个子域组成的有界区域，在界面上有一个系数跳跃，建立了与变系数标量偏微分方程的几个传递问题相关的直接局部化边界域积分方程（LBDIEs）的分离系统，并进行了分析.本文的主要结果是LBDIE与原传递问题的等价性以及相应的局部化边界域积分算子在相应的Sobolev空间函数空间中的可逆性。
Some segregated systems of direct localized boundary-domain integral equations (LBDIEs) associated with several transmission problems for scalar PDEs with variable coefficients are formulated and analyzed for a bounded domain composed of two subdomains with a coefficient jump over the interface. The main results established in the paper are the LBDIE equivalence to the original transmission problems and the invertibility of the corresponding localized boundary-domain integral operators in corresponding Sobolev spaces function spaces.