On the Solvability of Some Systems of Integro-Differential Equations with Anomalous Diffusion

Vitali Vougalter,Vitaly Volpert

doi:10.1007/978-3-319-47512-7_9

On the Solvability of Some Systems of Integro-Differential Equations with Anomalous Diffusion

Vitali Vougalter, Vitaly Volpert

https://doi.org/10.1007/978-3-319-47512-7_9

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Publication Date: Jan 1, 2017

Citations: 2

Affiliation: University of Toronto, Camille Jordan Institute, Claude Bernard University Lyon 1, French National Centre for Scientific Research

#Elliptic Operators In Unbounded Domains #Operators In Unbounded Domains + Show 8 more

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Abstract

The article deals with the existence of solutions of a system of integro-differential equations in the case of anomalous diffusion with the Laplacian in a fractional power. The proof of existence of solutions is based on a fixed point technique. Solvability conditions for non Fredholm elliptic operators in unbounded domains are used.

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