Sparse Calderón-Zygmund estimates for divergence form equations

Olli Saari (UPC, Barcelona)

Feb 24. 2025, 14:00 — 14:50

Calderón-Zygmund estimates refer to either the theory of singular integral operators or its historically principal application to partial differential equations: bounding the gradient of a solution to an elliptic equation by the source data on the right hand side. The theory of singular integrals was revolutionazed by the emergence of so-called sparse estimates around 2015. In this talk, I discuss a recent joint work with Hua-Yang Wang and Yuanhong Wei, where we treat gradient estimates for divergence form elliptic equations in terms of sparse bounds.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Degenerate and Singular PDEs (Workshop)
Organizer(s):
Verena Bögelein (PLUS, Salzburg)
Ugo Gianazza (U of Pavia)
Juha Kinnunen (Aalto U)
Naian Liao (PLUS, Salzburg)