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PDEs & Applications Seminar

Tuesday, November 28th, 2023

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

Speaker: Anirban Dutta (Queen’s)

Title: Stability properties for an abstract evolution equation

Abstract: In this talk, we will discuss the stability of the zero solution to a class of nonlinear evolution equations in Banach spaces. The approach is based on a linearization principle. The difficulty however is that zero is an eigenvalue of the relevant linear operator. So, the classical linearization principles do not hold. I will introduce a "generalized” linearization principle to study this problem, and obtain asymptotic stability results. Time permitting, we will discuss the instability result as well.