Solvability of differential equations on open subsets of the Sierpiński gasket

被引：0
|
作者：
Anders Pelander
机构：
[1] Uppsala University,Department of Mathematics
来源：
Journal d'Analyse Mathématique | 2007年 / 102卷
关键词：
Open Subset; Matching Condition; Fractal Differential Equation; Normal Derivative; Iterate Function System;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give necessary and sufficient conditions on the polynomial p for the differential equation p(Δ)u = f, based on the Laplacian, to be solvable on any open subset of the Sierpiński gasket for any f continuous on that subset. For general p, we find the open subsets on which p(Δ)u = f is solvable for any continuous f.
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