Uniform meyer solution to the three dimensional cauchy problem for laplace equation - 文章详情页

作者：

Wang, J. (Wang, J..) | Wang, W. (Wang, W..) (学者：王伟)

收录：

Scopus

摘要：

We　consider　the　three　dimensional　Cauchy　problem　for　the　Laplace　equation　where　the　data　is　given　at　z　=　0　and　a　solution　is　sought　in　the　region　x,y　∈　R,0　＜　z　＜　1.　The　problem　is　ill-posed,　the　solution　(if　it　exists)　doesn＇t　depend　continuously　on　the　initial　data.　Using　Galerkin　method　and　Meyer　wavelets,　we　get　the　uniform　stable　wavelet　approximate　solution.　Furthermore,　we　shall　give　a　recipe　for　choosing　the　coarse　level　resolution.　©　2011　Editorial　Board　of　Analysis　in　Theory　and　Applications　and　Springer-Verlag　Berlin　Heidelberg.

关键词：

Laplace equation; uniform convergence; wavelet solution

作者机构：

[ 1 ] [Wang, J.]Beijing University of Technology, Beijing, China
[ 2 ] [Wang, J.]Department of Applied Mathematics, Beijing University of Technology, Beijing 100124, China
[ 3 ] [Wang, W.]Tangshan Teachers College, Tangshan, China
[ 4 ] [Wang, W.]Department of Mathematics and Information Science, Tangshan Teachers College, Tangshan 063000, China

通讯作者信息：

[Wang, J.]Beijing University of Technology, Beijing, China

电子邮件地址：

wangjinru@bjut.edu.cn

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