Geodesic
On the existence of stationary solutions for some non-Fredholm integro-differential equations
Documenta mathematica, Tome 16 (2011), pp. 561-580
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We show the existence of stationary solutions for some reaction-diffusion type equations in the appropriate H2 spaces using the fixed point technique when the elliptic problem contains second order differential operators with and without Fredholm property.
DOI : 10.4171/dm/342
Classification : 35J10, 35K57, 35P30
Mots-clés : solvability conditions, non Fredholm operators, integro-differential equations, stationary solutions 
@article{10_4171_dm_342,
     author = {Vitali Vougalter and Vitaly Volpert},
     title = {On the existence of stationary solutions for some {non-Fredholm} integro-differential equations},
     journal = {Documenta mathematica},
     pages = {561--580},
     year = {2011},
     volume = {16},
     doi = {10.4171/dm/342},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/342/}
}
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Vitali Vougalter; Vitaly Volpert. On the existence of stationary solutions for some non-Fredholm integro-differential equations. Documenta mathematica, Tome 16 (2011), pp. 561-580. doi: 10.4171/dm/342

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