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.

引用

共 50 条

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