Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators

Narcisa Apreutesei (1) , Vitaly Volpert (2, 3)

1 Department of Mathematics [Iasi]
2 ICJ - Institut Camille Jordan
3 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis

The paper is devoted to integro-differential operators, which correspond to non-local 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.

Domaines: Equations aux dérivées partielles [math.AP]

Narcisa Apreutesei, Vitaly Volpert. Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators. Abstract and Applied Analysis, 2011, pp.ID 629692. ⟨hal-00653656⟩