The chaotic and hypercyclic behavior of the C0-semigroups of operators generated by a perturbation of the Ornstein-Uhlenbeck operator with a multiple of the identity in L2(RN) is investigated. Negative and positive results are presented, depending on the signs of the real parts of the eigenvalues of the matrix appearing in the drift of the operator.
Hypercyclicity of semigroups generated by the Ornstein-Uhlenbeck operator
MANGINO, Elisabetta Maria
2010-01-01
Abstract
The chaotic and hypercyclic behavior of the C0-semigroups of operators generated by a perturbation of the Ornstein-Uhlenbeck operator with a multiple of the identity in L2(RN) is investigated. Negative and positive results are presented, depending on the signs of the real parts of the eigenvalues of the matrix appearing in the drift of the operator.File in questo prodotto:
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