- 作者: 張秋俊
- 作者服務機構: 臺灣大學數學系
- 中文摘要:
(一)給一2m階橢圓算子L,其定義空問V滿足Hm。(Ω)
2時N (T)=O(T )。本報告將特別情形下之固有函數算出其牽涉到Jacob多項式及Associate Legendre函數。作者將進一步確定N(T)之係數及更低項之大小而其牽涉Jocob等函數之積分性質亦為探討對象。 - 英文摘要:
1.Consider an elliptic operator L of order 2m with domain V satisfyingH (Ω)
2, N(T)=O (Tn-1/m). In thisreport, we examine the special case and explicitly got the eigenfunctionsthat are related to the Jacob polynomials and the Associate Legendre func-tions, From which. we are going to get exact coefficient of N(T) and lowerorder term. - 中文關鍵字: --
- 英文關鍵字: --