Anirban Dutta (Queen’s)

PDEs & Applications Seminar

Tuesday, September 26th, 2023

Time: 9:30 a.m.  Place: Jeffery Hall, Room 319

Speaker: Anirban Dutta (Queen’s)

Title: Continuous dependence of solutions to evolution equations in the setting of maximal L^p regularity

Abstract: In this talk, I will introduce the notions of sectorial operator and operator satisfying the property of maximal L^p regularity. These notions play a fundamental role for the well-posedness of linear and quasilinear evolution equations. We will discuss under which conditions both notions are equivalent. After this, I will present a result on the continuous dependence of solutions to nonlinear evolution equations upon data, parameters and forcing in the same set up. An application will be presented.