Mathematics

This is the third part of the series started last term presenting the result due to Kiselev, Nazarov and Volberg. I will briefly recall the genearal stratedy involving the use of modulus of continuity as well as the key estimates for the linear and non-linear terms. We will use these estimates to prove that a solution indeed admits a suitable (lol-log type) modulus of continuity (implying boudendess of the L-infinity norm, and therefore, regularity.)