El Haial, AbdelillahLabbas, Rabah2020-06-302020-06-302001-08-27El 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. 1-18.1072-6691https://hdl.handle.net/10877/11928In 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.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalAbstract elliptical equationsOn the Ellipticity and Solvability of an Abstract Second-Order Differential EquationArticle