On the Ellipticity and Solvability of an Abstract Second-Order Differential Equation
Date
2001-08-27
Authors
El Haial, Abdelillah
Labbas, Rabah
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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 equation.
Description
Keywords
Abstract elliptical equations
Citation
El Haial, A., & Labbas, R. (2001). On the ellipticity and solvability of an abstract second-order differential equation. <i>Electronic Journal of Differential Equations, 2001</i>(57), pp. 1-18.
Rights
Attribution 4.0 International