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On Vector-Valued Schrodinger Operators in Lp-spaces
(Universita degli studi di Salerno, 2018-04-06)
... We construct a realization Ap of A in the spaces Lp(Rd;Cm), 1 p < 1,
that generates a contractive strongly continuous semigroup. First, by using form
methods, we obtain generation of holomorphic semigroups when the ...
Elliptic Operators with Unbounded Coefficients
(Universita degli studi di Salerno, 2017-04-28)
Aim of this manuscript is to give generation results and some Hardy inequalities concerning elliptic operators with unbounded coefficients of the form Au = div(aDu) + F ·Du + V u where V is a real valued function, a(x) = ...