速い移流を持つSturm-Liouville問題の第1固有値の精密な漸近挙動

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Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality九州大学21世紀COEプログラム「機能数理学の構築と展開」This study is concerned with the asymptotic behaviour of the first eiginvalue of a Sturm-Liouville problem with a large drifting term. The magnitude of the drift is controled by a parameter p. Under a suitable condition, it is known that the first eigenvalue λ(p) > 0 tends to zero exponentially if p → ∞. We prove a precise behaviour of such exponential smalless of λ(p) under a relaxed condition for the drift term.
2005-09-25