Integral Transforms in the Analysis of Pseudo-Differential Operators

Humberto Prado, PhD

The aim of this talk is to present a functional calculus for a class of pseudo-differential operators. We establish existence and regularity results for solutions to nonlinear pseudo-differential equations defined by nonlocal operators. Furthermore, we discuss applications of the theory to equations of physical relevance, particularly those involving the fractional Laplace operator.

To participate in this event virtually via Zoom, go to https://uiowa.zoom.us/j/95316149275.