Boundary behavior of positive solutions of Δ u=Pu on a Riemann surface

• SATO Takeyoshi

  Hokkaido University of Education

書誌事項

タイトル別名

• Boundary behavior of positive solutions of デルタ u Pu on a Riemann surface

抄録

The classical Fatou limit theorem was extended to the case of positive harmonic functions on a hyperbolic Riemann surface R by Constantinescu-Cornea. They used extensively the notions of Martin's boundary and fine limit following the filter generated by the base of the subsets of R whose complements are closed and thin at a minimal boundary point of R. We shall consider such a problem for positive solutions of the Schrödinger equation on a hyperbolic Riemann surface.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 51 (1), 167-179, 1999

  一般社団法人 日本数学会

キーワード

• Fatou limit theorem
• Schrödinger's equation
• Martin boundary
• fine limit

詳細情報

• CRID: 1390001205116074752
• NII論文ID: 10002151477
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05110167
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1661016
• NDL書誌ID: 4643315
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4643315
• 本文言語コード: en
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