On the ellipticity and solvability of an abstract second-order differential equation

In this work we give some new results on a complete abstract second-order differential equation of elliptic type in the non-homogeneous case. Existence, uniqueness, and maximal regularity of the strict solution are proved under some natural assumptions which imply the ellipticity of the differential...

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Bibliographic Details
Main Authors: Abdelillah El Haial, Rabah Labbas
Format: Article
Language:English
Published: Texas State University 2001-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2001/57/abstr.html