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arXiv · 1310.2668

The Lumer-Phillips Theorem For Two--parameter $C_0$--semigroups

Rasoul Abazari·Assadollah Niknam·Mahmoud Hassani
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Abstract

In this paper we extend the Lumer-Phillips theorem to the context of two--parameter C_0-semigroup of contractions. That is, we characterize the infinitesimal generators of two--parameter C_0-semigroups of contractions. Conditions on the behavior of the resolvent of operators, which are necessary and sufficient for the pair of operators to be the infinitesimal generator of a C_0-semigroup of contractions are given.

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Rasoul Abazari, Assadollah Niknam, Mahmoud Hassani. 2013-10-10. The Lumer-Phillips Theorem For Two--parameter $C_0$--semigroups. https://arxiv.org/abs/1310.2668

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