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;
2018-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
