Explicit transport semigroup associated to abstract boundary conditions
Luisa Arlotti · AIMS Press eBooks · 2011
The linear transport operator associated with abstract boundedboundary 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.