Geodesic
Positivity and stability for a system of transport equations with unbounded boundary perturbations
Electronic journal of differential equations, Tome 2009 (2009)
This article concerns wellposedness, positivity and spectral properties of the solution of a system of transport equations with unbounded boundary perturbations. In particular we obtain that the rescaled solution converges to the unique steady-state solution as time approaches infinity on a weighted L^1-space.
Classification : 47D06, 46B42, 34D05, 34G10, 47A10, 47A55, 47B65
Keywords: system of transport equations, C_0-semigroup, irreducibility, dominant eigenvalue, asymptotic properties, unbounded boundary perturbation 
@article{EJDE_2009__2009__a128,
     author = {D'Apice,  Ciro and El Habil,  Brahim and Rhandi,  Abdelaziz},
     title = {Positivity and stability for a system of transport equations with unbounded boundary perturbations},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1183.47037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a128/}
}
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%A Rhandi,  Abdelaziz
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%J Electronic journal of differential equations
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%G en
%F EJDE_2009__2009__a128
D'Apice,  Ciro; El Habil,  Brahim; Rhandi,  Abdelaziz. Positivity and stability for a system of transport equations with unbounded boundary perturbations. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a128/