Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators

The paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved. This will allow one to define the topological degree.

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Bibliographic Details
Published in:Abstract and Applied Analysis 2011-01, Vol.2011 (2011), p.2616-2636
Main Authors: Apreutesei, Narcisa C., Volpert, V.
Format: Article
Language:English
Subjects:
Analysis of PDEs
Banach spaces
Differential equations
Fourier transforms
Integral equations
Mathematical models
Mathematics
Operator theory
Operators
Reaction-diffusion equations
Studies
Topological spaces
Topology
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Description
Summary:The paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved. This will allow one to define the topological degree.
ISSN:1085-3375
1687-0409
DOI:10.1155/2011/629692