Translator Disclaimer
2008 Sturm-Liouville problems for an abstract differential equation of elliptic type in UMD spaces
Mustapha Cheggag, Angelo Favini, Rabah Labbas, Stéphane Maingot, Ahmed Medeghri
Differential Integral Equations 21(9-10): 981-1000 (2008).

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

Download 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.

Information

Published: 2008
First available in Project Euclid: 20 December 2012

zbMATH: 1224.35418
MathSciNet: MR2483345

Subjects:
Primary: 35R20
Secondary: 34B05, 34G10, 35J25, 35J40, 47D06, 47N20

Rights: Copyright © 2008 Khayyam Publishing, Inc.

JOURNAL ARTICLE
20 PAGES


SHARE
Vol.21 • No. 9-10 • 2008
Back to Top