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arXiv · 1009.1489

Elliptic operators with unbounded diffusion coefficients in Lp spaces

Giorgio Metafune·Chiara Spina
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Abstract

In this paper we prove that, under suitable assumptions on α > 0, the operator L = (1 + |x|α)Δadmits realizations generating contraction or analytic semigroups in Lp (RN). For some values of α, we also explicitly characterize the domain of L. Finally, some informations about the location and composition of the spectrum are given.

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Giorgio Metafune, Chiara Spina. 2010-09-08. Elliptic operators with unbounded diffusion coefficients in Lp spaces. https://arxiv.org/abs/1009.1489

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