The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on March 24, 2015 at 14:00 in Room 478 of IMI.

A talk on:

Completely monotone functions in the study of a class of fractional evolution equations

will be delivered by Emilia Bazhlekova.

Everybody is invited.

Abstract. After a short introduction to the theory of completely monotone functions and Bernstein functions, a class of fractional evolution equations is considered, containing different models of the so-called “slow diffusion”. Each problem of this class can be rewritten as an abstract Volterra integral equation, which kernel satisfies certain complete monotonicity properties. Based on these properties of the kernel, existence of a unique solution is proven for the considered class of equations and some properties of the solution are derived.