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Explicit transport semigroup associated to abstract boundary conditions

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  • The linear transport operator associated with abstract bounded boundary conditions, $T_H$, is considered. It is shown that, in some particular cases, a convergent series similar to Dyson-Phillips series can be defined. Sufficient conditions assuring that the sum of this series is a C$_o$-semigroup generated by $T_H$ itself are given.
    Mathematics Subject Classification: Primary: 47D06, 47N50; Secondary: 82C40.

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