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.

引用

页码：671 / 680

页数：10

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