Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form
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概要
- 論文の詳細を見る
We give a method to determine Martin boundaries of product domains for elliptic equations in skew product form via Widder type uniqueness theorems for parabolic equations. It is shown that the fiber of the Martin boundary at infinity of the base space degenerates into one point if any nonnegative solution to the Dirichlet problem for a corresponding parabolic equation with zero initial and boundary data is identically zero. We apply it in a unified way to several concrete examples to explicitly determine Martin boundaries for them.
- 社団法人 日本数学会の論文
- 2005-04-01
著者
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Murata Minoru
Department Of Cardiology Nito-saiseikai General Hospital
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Murata Minoru
Department Of Mathematics Tokyo Institute Of Technology
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