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Article Dans Une Revue Bollettino dell'Unione Matematica Italiana Année : 2023

Solvability of a fourth order elliptic problem in a bounded sector, 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 Sω,ρ of angle ω > 0 and radius ρ > 0 in R2 . This first part is devoted to the behavior of the solution near the top of the cone which is completely described in the weighted Sobolev space W^{4, p}_{3 − 1/p} (Sω,ρ0 ), ρ0 ≤ ρ, see Theorem 2.2.
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Dates et versions

hal-04338250 , version 1 (12-12-2023)

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Rabah Labbas, Stéphane Maingot, Alexandre Thorel. Solvability of a fourth order elliptic problem in a bounded sector, part I. Bollettino dell'Unione Matematica Italiana, 2023, ⟨10.1007/s40574-023-00401-8⟩. ⟨hal-04338250⟩
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