On instant blow-up for semilinear heat equations with growing initial data
説明
For a semilinear heat equation admitting blow-up solutions a sufficient condition for nonexistence of local-in-time solutions are obtained. In particular, it is shown that if an initial data tends to infinity at space infinity then there is no local-in-time solution. As an application if the solution blows up at space infinity with least blow-up time, the solution cannot be extendable after blow-up time.
収録刊行物
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 916 1-13, 2008
Department of Mathematics, Hokkaido University
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詳細情報 詳細情報について
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- CRID
- 1390853649725555712
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- NII論文ID
- 120006459612
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- DOI
- 10.14943/84065
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- HANDLE
- 2115/69723
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- JaLC
- IRDB
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用可