Geodesic
On the existence of stationary solutions for some non-Fredholm integro-differential equations
Documenta mathematica, Tome 16 (2011), pp. 561-580.

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

Summary: We show the existence of stationary solutions for some reaction-diffusion type equations in the appropriate $H^2$ spaces using the fixed point technique when the elliptic problem contains second order differential operators with and without Fredholm property.
Classification : 35J10, 35P30, 35K57
Keywords: solvability conditions, non Fredholm operators, integro-differential equations, stationary solutions 
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     author = {Vougalter, Vitali},
     title = {On the existence of stationary solutions for some {non-Fredholm} integro-differential equations},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a16/}
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Vougalter, Vitali. On the existence of stationary solutions for some non-Fredholm integro-differential equations. Documenta mathematica, Tome 16 (2011), pp. 561-580. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a16/