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arXiv · 1705.08007

Elliptic operators with unbounded diffusion, drift and potential terms

S. E. Boutiah·F. Gregorio·A. Rhandi·C. Tacelli
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Abstract

We prove that the realization $A_p$ in $L^p(\mathbb{R}^N),\,1 2,\,\beta >\alpha -2$ and any constants $b\in \mathbb{R}$ 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 $T(\cdot)$ is consistent, immediately compact and ultracontractive.

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S. E. Boutiah, F. Gregorio, A. Rhandi, C. Tacelli. 2017-05-22. Elliptic operators with unbounded diffusion, drift and potential terms. https://arxiv.org/abs/1705.08007

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