- 15-56 Vitali Vougalter, Vitaly Volpert
- Existence of stationary solutions for some integro-differential equations with anomalous diffusion
Jun 19, 15
(auto. generated pdf),
of related papers
Abstract. The article deals with the existence of solutions of an integro-differential equation arising in population dynamics in the case of
anomalous diffusion involving the negative Laplace operator raised to a
certain 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 along with the Sobolev inequality for a fractional Laplacian are being used.