Seminario

Seminario EDP UAM-ICMAT

Homogeneous spaces, operators and semigroups: optimal estimates and selfsimilarity

Ponente:  Anibal Rodríguez-Bernal (UCM)
Fecha:  viernes 08 de noviembre de 2024 - 12:30
Lugar:  Aula 520, Módulo 17, Departamento de Matemáticas, UAM

Resumen:

We present some results on evolution problems governed by homogeneous operators. We show that many relevant features of these problems do not really depend from specifics of the equations but stem from homogeneity. These include sharp estimates for solutions in homogeneous spaces and several selfsimilarity results. These properties hold in particular for higher order equations and fractional diffusion ones.
This is a joint work with J. Cholewa (U. Silesia, Poland).