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Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to Unione Matematica Italiana 2021
- ISSN
- 1972-6724
- eISSN
- 2198-2759
- DOI
- 10.1007/s40574-021-00311-7
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we prove some new results on operational second order differential equations of elliptic type with general Robin boundary conditions in a non-commutative framework. The study is developed in Hölder spaces under some natural assumptions generalizing those in [4]. We give necessary and sufficient conditions on the data to obtain a unique strict solution satisfying the maximal regularity property, see Theorems 1 and 2. This work completes the one given in [4] and [12].
Journal
Bollettino dell'Unione Matematica Italiana – Springer Journals
Published: Sep 1, 2022
Keywords: Second-order elliptic differential equations; Robin boundary conditions; Analytic semigroup