Published: Optimal stability estimates and a new uniqueness result for advection-diffusion equations

6 December 2022

The paper with Víctor Navarro-Fernández and Christian Seis on Optimal stability estimates and a new uniqueness result for advection-diffusion equations got published at Pure and Applied Analysis. We present two main contributions. First, we provide optimal stability estimates for advection-diffusion equations in a setting in which the velocity field is Sobolev regular in the spatial variable. This estimate is formulated with the help of Kantorovich–Rubinstein distances with logarithmic cost functions.