The aim of this short note is to prove a generation result of a C_0-semigroup in L^2(R^d;C^m) with the characterization of the domain of their generators, for a perturbation of a class of matrix Schroedinger 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 semigrouops are analytic are provided too.

On a perturbation of a class of Schroedinger systems in L^2 spaces / Angiuli, Luciana.; Lorenzi, Luca; Mangino, Elisabetta. - In: NOTE DI MATEMATICA. - ISSN 1590-0932. - 38:2(2018), pp. 125-138. [10.1285/i15900932v38n2p125]

On a perturbation of a class of Schroedinger systems in L^2 spaces

Lorenzi Luca;
2018

Abstract

The aim of this short note is to prove a generation result of a C_0-semigroup in L^2(R^d;C^m) with the characterization of the domain of their generators, for a perturbation of a class of matrix Schroedinger 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 semigrouops are analytic are provided too.
On a perturbation of a class of Schroedinger systems in L^2 spaces / Angiuli, Luciana.; Lorenzi, Luca; Mangino, Elisabetta. - In: NOTE DI MATEMATICA. - ISSN 1590-0932. - 38:2(2018), pp. 125-138. [10.1285/i15900932v38n2p125]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2854292
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