2024-1 Math Colloquium

Title : Parabolic PDEs and SPDEs with space-time non-local operators

Speaker : Kyeong Hun Kim (Korea Univ)

Abstract : Parabolic equations are related to time dependent natural phenomena. For instance, the classical heat equation with local operators describes the normal diffusion. On the other hand, the description of abnormal diffusion and randomly moving particles with jumps requires the use of non-local operators.
In this talk, I will give a short introduction to the parabolic PDEs and stochastic PDEs having non-local operators with respect to time and space variables.