Elliptic operators with unbounded diffusion coefficients in Lp spaces

Details Elliptic operators with unbounded diffusion coefficients in Lp spaces Elliptic operators with unbounded diffusion coefficients in Lp spaces

2010-09-08

arxiv.org/abs/1009.1489v1

Mathematics

Analysis of PDEs

Scientific paper

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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