Abstract
In this work we are concerned with the one-dimensional transport equation, on unbounded slab, endowed with a general boundary condition. We show that this equation is governed by a strongly continuous semigroup. We investigate the spectral and lattice properties of the generated semigroup and prove the existence of a leading eigenvalue with algebraic multiplicity one. We end this work by describing the asymptotic behavior of the generated semigroup in the uniform topology.
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