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Journal Articles Documenta Mathematica Year : 2011

On the existence of stationary solutions for some non-Fredholm integro-differential equations

Abstract

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.

Domains

Analysis of PDEs [math.AP]
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Vitaly Volpert  : Connect in order to contact the contributor

https://hal.science/hal-00653648

Submitted on : Monday, December 19, 2011-9:36:52 PM

Last modification on : Tuesday, April 16, 2024-1:11:59 PM

Long-term archiving on: Tuesday, March 20, 2012-2:50:51 AM

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Dates and versions

hal-00653648 , version 1 (19-12-2011)

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  • HAL Id : hal-00653648 , version 1

Cite

Vitali Vougalter, Vitaly Volpert. On the existence of stationary solutions for some non-Fredholm integro-differential equations. Documenta Mathematica, 2011, 16, pp.561-580. ⟨hal-00653648⟩

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