Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: L[2]-theory
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- Favini Angelo
- Dipartimento di Matematica, Università degli Studi di Bologna
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- Lorenzi Alfredo
- Dipartimento di Matematica, Università degli Studi di Milano
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- Tanabe Hiroki
- Hirai Sanso 12-13, Takarazuka, 665-0817, Japan
書誌事項
- タイトル別名
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- Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: <i>L</i><sup>2</sup>-theory
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説明
This paper is devoted to solving a degenerate parabolic integrodifferential equation with the Robin boundary condition. We begin with solving the equation without the integral delay term. For that purpose we introduce some new unknown function following Favini and Yagi [4] and construct the fundamental solution to the equation to be satisfied by it by the method of Kato and Tanabe [5]. Using this fundamental solution we transform the original problem to an easily solvable integral equation for the time derivative of the new unknown function.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 61 (1), 133-176, 2009
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390282680091407488
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- NII論文ID
- 10024905558
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 9773276
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDLサーチ
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- 使用不可
