頁籤選單縮合
題名 | Analytic Semigroups on L (0,1) and on L仏(0,1) Generated by Some Classes of Second Order Differential Operators= |
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作者 | Favini,Angelo; Goldstein,Jerome A.; Romanelli,Silvia; |
期刊 | Taiwanese Journal of Mathematics |
出版日期 | 19990600 |
卷期 | 3:2 1999.06[民88.06] |
頁次 | 頁181-210 |
分類號 | 310 |
語文 | eng |
關鍵詞 | Degenerate second order differential operators on L仏(0,1) and on L (0,1); Analytic semigroups; |
英文摘要 | Of concern are singular ordinary differential operators defined on an interval for which the coefficient of ellipticity degenerates at the boundary of the interval. Thus, for instance, of concern is the operator A defined by A μ: =αμ " +βμ ' on the interval (0,1) where α�e C[0,1], α > 0 in (0,1) and α (0) = 0 =α (1). We show that, in many cases, A (with suitable boundary conditions) generates a C □ -semigroup on various (weighted or not) L �k spaces on (0,1) which is analytic. It is the analyticity that is the focal point. |
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