Solvability of a transmission problem in Lp-spaces with generalized diffusion equation - Archive ouverte HAL
Article Dans Une Revue Electronic Journal of Differential Equations Année : 2024

Solvability of a transmission problem in Lp-spaces with generalized diffusion equation

Résumé

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 biharmonic term. We consider that the coefficients in front of each term could be negative or null. Using semigroups theory and functional calculus, we give some relation between coefficients to obtain the existence and the uniqueness of the classical solution in Lp-spaces.
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Dates et versions

hal-02975666 , version 1 (22-10-2020)
hal-02975666 , version 2 (02-12-2024)

Identifiants

Citer

Alexandre Thorel. Solvability of a transmission problem in Lp-spaces with generalized diffusion equation. Electronic Journal of Differential Equations, 2024, 2024 (78), pp.1-32. ⟨10.58997/ejde.2024.78⟩. ⟨hal-02975666v2⟩
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