23-37 Vitali Vougalter, Vitaly Volpert

Solvability of some integro-differential equations with the double scale anomalous diffusion in higher dimensions (193K, pdf) Jun 3, 23

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. The article is devoted to the studies of the existence of solutions of an integro-differential equation in the case of the double scale anomalous diffusion with the sum of the two negative Laplacians raised to two distinct fractional powers in R^d, d=4, 5. The proof of the existence of solutions is based on a fixed point technique. Solvability conditions for the non-Fredholm elliptic operators in unbounded domains are used.

Files: 23-37.src( 23-37.keywords , valdsch.pdf.mm )