Kernel estimates for Schrödinger type operators with unbounded coefficients and critical exponents

被引：8

作者：

Durante T. ^{[1
]}

Manzo R. ^{[1
]}

Tacelli C. ^{[1
]}

机构：

[1] Dipartimento di Ingegneria dell’Informazione ed Elettrica e Matematica Applicata, Università degli Studi di Salerno, Via Giovanni Paolo II, 132, Fisciano, 84084, SA

来源：

Ricerche di Matematica | 2016年 / 65卷 / 1期

关键词：

Elliptic operators; Kernel estimates; Unbounded coefficients;

D O I：

10.1007/s11587-016-0284-x

中图分类号：

学科分类号：

摘要：

We consider the Schrödinger type operator (1 + | x| α) Δ + c| x| α - 2, for α> 2 , c< 0 and N> 2. Heat kernel estimates of the associated semigroup are obtained using the equivalence between weighted Nash inequalities and “weighted” ultracontractivity of a symmetric Markov semigroup. Moreover we give estimates of the eigenfunctions of the operator for large values of |x|. © 2016, Università degli Studi di Napoli Federico II"."

引用

页码：289 / 305

页数：16

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