Elliptic operators with unbounded diffusion, drift and potential terms

2017/05/22 by Sallah Eddine Boutiah, Federica Gregorio, Boutiah, S. E. +5 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1705.08007

openalex publication_date 2017/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the realization A_p in L^p(ℝ^N), 12, β>α-2 and any constants b∈ ℝ and c>0. This generalizes the recent results in [A.Canale, A. Rhandi, C. Tacelli, Ann. Sc. Norm. Super. Pisa CI. Sci. (5), 2016] and in [G.Metafune, C.Spina, C.Tacelli, Adv. Diff. Equat., 2014]. Moreover we show that T(⋅) is consistent, immediately compact and ultracontractive.

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