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

Explicit transport semigroup associated to abstract boundary conditions

Luisa Arlotti 1,

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.
Keywords: Transport equations, Boundary conditions, Dyson-Phillips series.
Mathematics Subject Classification: Primary: 47D06, 47N50; Secondary: 82C40.
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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