ELLIPTIC OPERATORS WITH UNBOUNDED DIFFUSION COEFFICIENTS PERTURBED BY INVERSE SQUARE POTENTIALS IN Lp-SPACES

被引：7
|
作者：
Fornaro, Simona [1 ]
Gregorio, Federica [2 ]
Rhandi, Abdelaziz [3 ]
机构：
[1] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata,1, I-27100 Pavia, Italy
[2] Univ Salerno, Dipartimento Fis, Via Giovanni Paolo 2,132, I-84084 Fisciano, Sa, Italy
[3] Univ Salerno, Dipartimento Ingn Informaz Ingn Elettr & Matemat, Via Giovanni Paolo 2,132, I-84084 Fisciano, Sa, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 06期
关键词：
Inverse square potential; positivity preserving C-0-semigroup; core; dissipative and dispersive operator; Hardy's inequality; unbounded diffusion; ESSENTIAL SELF-ADJOINTNESS; GENERATION;
D O I：
10.3934/cpaa.2016040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we give sufficient conditions on a >= 0 and c is an element of R ensuring that the space of test functions C-c(infinity) (R-N) is a core for the operator L(0)u = (1 + vertical bar x vertical bar(alpha))Delta u + c/vertical bar x vertical bar(2) u =: Lu + c/vertical bar x vertical bar(2) u and L-0 with a suitable domain generates a quasi-contractive and positivity preserving C-0-semigroup in L-p(R-N), 1 < p < infinity. The proofs are based on some L-p-weighted Hardy's inequality and perturbation techniques.
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页码：2357 / 2372
页数：16
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