Universit\'e Le Havre Normandie
Normandie Univ, LMAH UR 3821
76600 Le Havre, France
email: alexandre.thorel@univ-lehavre.fr
Author: Alexandre Thorel
Abstract:
We study a transmission problem in population dynamics between two
juxtaposed habitats. In each habitat, we consider a generalized
diffusion equation composed by the Laplace operator and a btocould
be negative or null. Using semigroup theory and functional calculus,
we give some relation between coefficients to obtain the existence and
uniqueness of a classical solution in L^p-spaces.
Submitted April 4, 2024. Published November 30, 2024.
Math Subject Classifications: 5B65, 35J48, 35R20, 47A60, 47D06.
Key Words: Operational differential equations; functional calculus;
analytic semigroups; BIP operators; maximal regularity.
DOI: 10.58997/ejde.2024.78
Show me the PDF file (452 KB), TEX file for this article.
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Alexandre Thorel Universit\'e Le Havre Normandie Normandie Univ, LMAH UR 3821 76600 Le Havre, France email: alexandre.thorel@univ-lehavre.fr |
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