Abstract
In this paper we give some new results on Sturm-Liouville abstract problems of second-order differential equations of elliptic type in UMD spaces. Existence, uniqueness and maximal regularity of the strict solution are proved using the celebrated Dore-Venni theorem. This work completes the problems studied by Favini, Labbas, Maingot, Tanabe and Yagi under Dirichlet boundary conditions, see [6].
Citation
Mustapha Cheggag. Angelo Favini. Rabah Labbas. Stéphane Maingot. Ahmed Medeghri. "Sturm-Liouville problems for an abstract differential equation of elliptic type in UMD spaces." Differential Integral Equations 21 (9-10) 981 - 1000, 2008. https://doi.org/10.57262/die/1356038596
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