Generalized diffusion problems in a conical domain, part I
Résumé
The purpose of this article (composed of two parts) is the study of the generalized dispersal operator of a reaction-diffusion equation in L p-spaces set in the finite conical domain S ω,ρ of angle ω > 0 and radius ρ > 0 in R 2. This first part is devoted to the behaviour of the solution near the top of the cone which is completely described in the weighted Sobolev space W 4,p 3− 1 p (S ω,ρ), see Theorem 2.2.
Origine : Fichiers produits par l'(les) auteur(s)