Ágota G. Horváth (BME): Removable Sets for Fractional Heat and Fractional Bessel-Heat Equations

We examine fractional heat-diffusion equations concerning to Laplace- and the Bessel-Laplace operators. We give conditions for removability which are sufficient and which are necessary, by $L^p$-capacities. Due to taking average on the sphere, in the spirit of modulus of smoothness we handle the Laplace and Bessel-Laplace cases together.

 

(It is a joint work with Mouna Chegaar.)