Geodesic
On the ellipticity and solvability of an abstract second-order differential equation
Electronic journal of differential equations, Tome 2001 (2001)
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.
Classification : 34G10, 35J25, 47D03
Keywords: abstract elliptic equations 
@article{EJDE_2001__2001__a12,
     author = {El Haial,  Abdelillah and Labbas,  Rabah},
     title = {On the ellipticity and solvability of an abstract second-order differential equation},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0996.34046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a12/}
}
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%A Labbas,  Rabah
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El Haial,  Abdelillah; Labbas,  Rabah. On the ellipticity and solvability of an abstract second-order differential equation. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a12/