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
- 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
- functional calculus
- second and fourth order boundary value problem
- Sum of linear operators
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