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arXiv · 2403.02758

Solvability of a fourth order elliptic problem in a bounded sector, part II

Rabah Labbas·Stéphane Maingot·Alexandre Thorel
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Abstract

After different variables and functions changes, the generalized dispersal problem, recalled in (1) below and considered in part I, see Labbas, Maingot and Thorel [14], leads us to consider, to study and to invert the sum of linear operators (4) below in a suitable Banach space by using two strategies: namely the theory of sums of operators in Banach spaces as developed by Da Prato-Grisvard [4] and successfully improved by Dore-Venni [5].

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Rabah Labbas, Stéphane Maingot, Alexandre Thorel. 2024-03-05. Solvability of a fourth order elliptic problem in a bounded sector, part II. https://doi.org/10.1007/s40574-024-00406-x

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