Lp-theory of elliptic differential operators with unbounded coefficients

被引：0

作者：

Gherairi, K. ^{[1
]}

Rabaoui, R. ^{[1
,2
]}

Saddi, A. ^{[1
]}

机构：

[1] Fac Sci, Dept Math, Gabes 6072, Tunisia

[2] Univ Tunis El Manar, Math Anal & Applicat Lab, LR11ES11, Fac Sci Tunis, El Manar 1, Tunis 2092, Tunisia

来源：

SEMIGROUP FORUM | 2017年 / 95卷 / 01期

关键词：

ANALYTICITY; SEMIGROUPS;

D O I：

10.1007/s00233-017-9855-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the generation of strongly continuous analytic semigroups on L-p ((0,omega), mu(p) dx) and L-p((0,omega), dx), 1 < p < infinity , by a family of second order elliptic operators of the form A =1/rho d/dx (rho d/dx.) + Phi d/dx. - V(x). As in [24], we shall prove the generation results on L-2-spaces using the sesquilinear forms. More general results are obtained by using interpolation procedure and Neuberger's theorem.

引用

页码：83 / 108

页数：26

共 28 条

[1]

[Anonymous], 1996, FUNKC EKVACIOJ-SER I

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