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- Fujiié Setsuro
- Ritsumeikan University, Department of Mathematical Sciences
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- Lahmar-Benbernou Amina
- Université de Mostaganem, Département de Mathématiques
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- Martinez André
- Università di Bologna, Dipartimento di Matematica
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We consider the semiclassical Schrödinger operator with a well in an island potential, on which we assume smoothness only, except near infinity. We give the asymptotic expansion of the imaginary part of the shape resonance at the bottom of the well. This is a generalization of the result by Helffer and Sjöstrand [HeSj1] in the globally analytic case. We use an almost-analytic extension in order to continue the WKB solution coming from the well beyond the caustic set, and, for the justification of the accuracy of this approximation, we develop some refined microlocal arguments in h-dependent small regions.
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 63 (1), 1-78, 2011
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
- 1390001205115913600
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- NII論文ID
- 10027871208
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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
- 10947520
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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
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- 使用不可