- 15-64 Vitali Vougalter, Vitaly Volpert
- On the existence of stationary solutions for some systems of integro-differential equations with anomalous diffusion
Jul 11, 15
(auto. generated pdf),
of related papers
Abstract. The article is devoted to the proof of the existence of solutions of a system of integro-differential equations appearing in population dynamics in the case of anomalous diffusion when the negative Laplacian is raised to some fractional power. The argument relies on a fixed point technique. Solvability conditions for elliptic operators without Fredholm property in unbouned domains along with the Sobolev inequality
for a fractional Laplace operator are being used.