Geodesic
On the ellipticity and solvability of an abstract second-order differential equation
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a90/}
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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__a90/