ON A CLASS OF ELLIPTIC OPERATORS WITH UNBOUNDED DIFFUSION COEFFICIENTS

被引：13
|
作者：
Metafune, Giorgio [1 ]
Spina, Chiara [1 ]
Tacelli, Cristian [1 ]
机构：
[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, I-73100 Lecce, Italy
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2014年 / 3卷 / 04期
关键词：
Elliptic operators; unbounded coefficients; generation results; analytic semigroups;
D O I：
10.3934/eect.2014.3.671
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that, for -infinity < alpha <= 2, 1 < p < infinity, the operator L = (1+ vertical bar x vertical bar(2))(alpha/2) Sigma(N)(i,j=1) a(i,j) (x) D-i,D-j generates an analytic semigroup in L-p(R-N) when the diffusion coefficients a(i,j) admit a limit at infinity.
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页码：671 / 680
页数：10
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