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Spectral properties and regularity of solutions to transport equations in slab geometry
Author(s) -
Latrach Khalid,
Megdiche Hatem
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.767
Subject(s) - mathematics , variety (cybernetics) , cover (algebra) , boundary value problem , anisotropy , class (philosophy) , slab , mathematical analysis , boundary (topology) , cauchy distribution , geometry , physics , computer science , mechanical engineering , statistics , quantum mechanics , artificial intelligence , geophysics , engineering
This paper deals with regularity properties of solutions to Cauchy problems governed by one‐dimensional transport equations for a wide class of anisotropic scattering operators and a variety of boundary conditions which cover, in particular, the classical known ones. Under adequate assumptions, various descriptions of the large time behaviour of solutions are derived. Copyright © 2006 John Wiley & Sons, Ltd.