On a perturbation of a class of Schrodinger systems in L^2-spaces
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http://siba-ese.unisalento.it/index.php/notemat/article/view/20055/17089
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The aim of this short note is to prove a generation result of C_0-semigroups in L^2(\Rd, \Cm), with the characterization of the domain of their generators, for a perturbation of a class of matrix Schrodinger operators by symmetric potential matrices whose entries can grow exponentially at infinity. A further perturbation by drift matrices with entries that can grow at most linearly at infinity, is considered. Finally, suitable assumptions which guarantee that the generated semigroups are analytic, are provided too.
提供机构:
University of Salento
创建时间:
2019-02-11



