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Existence of stationary solutions for some non-Fredholm integro-differential equations with superdiffusion

Vitali Vougalter 1 Vitaly Volpert 2, 3
2 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
CGPhiMC - Centre de génétique et de physiologie moléculaire et cellulaire, Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne]
3 MMCS - Modélisation mathématique, calcul scientifique
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : We prove the existence of stationary solutions for some reaction-diffusion equations with superdiffusion. The corresponding elliptic problem contains the operators with or without Fredholm property. The fixed point technique in appropriate H 2 spaces is employed.
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Vitali Vougalter, Vitaly Volpert. Existence of stationary solutions for some non-Fredholm integro-differential equations with superdiffusion. Journal of Pseudo-Differential Operators and Applications, 1662-999X, 2016, ⟨10.1007/s11868-016-0173-9⟩. ⟨hal-01397555⟩

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