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2011, 2011(Special): 102-111. doi: 10.3934/proc.2011.2011.102

## Explicit transport semigroup associated to abstract boundary conditions

 1 Universitá degli Studi di Udine, 33100 Udine, Italy

Received  July 2010 Revised  June 2011 Published  October 2011

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.
Citation: Luisa Arlotti. Explicit transport semigroup associated to abstract boundary conditions. Conference Publications, 2011, 2011 (Special) : 102-111. doi: 10.3934/proc.2011.2011.102
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