Elliptic operators with unbounded diffusion and singular lower order terms in Lp-spaces

被引：0

作者：

Ali, Soumaya Belhaj ^{[1
]}

机构：

[1] Univ Tunis El Manar, Fac Math Phys & Nat Sci Tunis, Lab Math Anal & Applicat LMAA LR11 ES11, Tunis 2092, Tunisia

来源：

SEMIGROUP FORUM | 2019年 / 98卷 / 03期

关键词：

Singular lower order terms; Unbounded diffusions; Dissipative and dispersive operators; Positive strongly continuous semigroups; Hardy's inequality; SCHRODINGER-TYPE OPERATORS; COEFFICIENTS;

D O I：

10.1007/s00233-018-9938-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give sufficient conditions on 0 and a,b,cR ensuring that the operator. The proofs are based on some Lp-weighted Hardy's inequality and perturbation arguments. The results extend recent generation theorems established in Fornaro et al. (Commun Pure Appl Anal 15(6):2357-2372, 2016), Metafune et al. (Adv Differ Equ 19(5/6):473-526, 2014).

引用

页码：499 / 520

页数：22

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