K. Latrach, SOME SPECTRAL PROPERTIES OF TRANSPORT-OPE RATOR WITH ABSTRACT BOUNDARY-CONDITIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(7), 1995, pp. 809-814
This Note gives a systematic analysis of the irreducibility of semigro
ups generated by one-dimentional transport equations with general boun
dary conditions including all known ones. The strict monotonicity prop
erties of the leading eigenvalue of such equations are also presented.