Solvability of a fourth order elliptic problem in a bounded sector, part II
Résumé
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].
Mots clés
Sum of linear operators
second and fourth order boundary value problem
functional calculus
bounded imaginary powers
maximal regularity
Sum of linear operators second and fourth order boundary value problem functional calculus bounded imaginary powers maximal regularity 2020 Mathematics Subject Classification: 34G10 35B65 35C15 35R20 47A60
maximal regularity 2020 Mathematics Subject Classification: 34G10
35B65
35C15
35R20
47A60
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