A framework for non-local, non-linear diffusion

Diffusion is a ubiquitous notion in the theory of PDEs. The most obvious case is the heat equation and it has many derivations, including both non-local and non-linear examples (fractional Laplacian, fractional p-Laplacian, porous medium). We will discuss
how to make your own diffusion operator from scratch and why it will have (some of) the properties you would like it to have. Joint work with G. Karch (Wrocław) and M. Kassmann (Bielefeld).

Monday, April 16, 2018 - 10:00 to 11:00

Thackeray 427

Speaker Information
Miłosz Krupski
Dr.
University of Wroclaw

Abstract or Additional Information

Diffusion is a ubiquitous notion in the theory of PDEs. The most obvious case is the heat equation and it has many derivations, including both non-local and non-linear examples (fractional Laplacian, fractional p-Laplacian, porous medium). We will discuss
how to make your own diffusion operator from scratch and why it will have (some of) the properties you would like it to have. Joint work with G. Karch (Wrocław) and M. Kassmann (Bielefeld).

Research Area