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Elliptic operators with unbounded diffusion coefficients in Lp spaces
Published 8 Sep 2010 in math.AP | (1009.1489v1)
Abstract: In this paper we prove that, under suitable assumptions on {\alpha} > 0, the operator L = (1 + |x|{\alpha})\Delta admits realizations generating contraction or analytic semigroups in Lp (RN). For some values of {\alpha}, 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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