Special Session 134: Recent advances in wavelet analysis, PDEs and dynamical systems - part II

Regularity procedure for solutions of PDEs having discontinous coefficients

Maria Alessandra Ragusa
University of Catania
Italy
Co-Author(s):    
Abstract:
Sharp inequalities have a rich tradition in harmonic analysis, going back to the epoch-making works of Hardy--Littlewood--Sobolev inequalities. In this talk, we survey selected highlights from the past decades, describe some of our own contributions, and pose a few open problems which lie at the interface of euclidean harmonic analysis, regularity of solutions of PDEs and systems.