Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775174 | Journal of Mathematical Analysis and Applications | 2017 | 22 Pages |
Abstract
In this paper, we consider a generalized diffusion problem arising in population dynamics. To this end, we study a fourth order operational equation of elliptic type, with various boundary conditions. We show existence, uniqueness and regularity of a classical solution on a cylindrical domain under some necessary and sufficient conditions on the data. This elliptic problem is solved in Lp(a,b;X), pâ(1,+â), where (a,b)âR and X is a UMD Banach space. Our techniques use essentially the functional calculus and the semigroup theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
R. Labbas, S. Maingot, D. Manceau, A. Thorel,