Analytic semigroups on H1(Ω) generated by degenerate elliptic operators

被引：3

作者：

Barbu, V

Favini, A

机构：

[1] Univ Iasi, Iasi 6600, Romania

[2] Univ Bologna, Dipartimento Matemat, I-40126 Bologna, Italy

来源：

SEMIGROUP FORUM | 2001年 / 62卷 / 02期

关键词：

D O I：

10.1007/s002330010012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

One proves that Ay = a Deltay + b(.)dely, D(A) = {y is an element of H-1(Omega); a Deltay + b(.)dely is an element of H-0(1)(Omega), roota Deltay is an element of L-2(Omega)} generates, under suitable conditions on a and b, a C-0-analytic semigroup on H-1(Omega).

引用

页码：317 / 328

页数：12

共 10 条

[1]

CLEMENT P, 1986, P K NED AKAD A MATH, V89, P379

[2] Analytic semigroups on C[0, 1] generated by some classes of second order differential operators [J].