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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.1
- 수록면
- 149 - 160 (12page)
- DOI
- 10.4134/CKMS.c230133
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초록· 키워드
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In this paper, we give sufficient conditions for the generalized Ornstein-Uhlenbeck operators perturbed by regular potentials and inverse square potentials \begin{align*} A_{\Phi,G,V,c} = \Delta-\nabla \Phi\cdot\nabla+G\cdot \nabla-V+c|x|^{-2} \end{align*} with a suitable domain generates a quasi-contractive, positive and analytic $C_{0}$-semigroup in $L^{p}(\mathbb{R}^{N},e^{-\Phi(x)}dx)$, $1<p<\infty$. The proofs are based on an $L^{p}$-weighted Hardy inequality and perturbation techniques. The results extend and improve the generation theorems established by Metoui \cite{122} and Metoui--Mourou \cite{12}.
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