Mathematics – Analysis of PDEs
Scientific paper
2010-09-08
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.
Metafune Giorgio
Spina Chiara
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