EVENT DETAILS AND ABSTRACT

Title: Poincar\'e's inequality and diffusive evolution equations
Speaker: Professor Maria Schonbek
Speaker Info: University of California at Santa Cruz
Brief Description:
Special Note:
Abstract:

In this talk I want to address the question of what induces the change of decay rate from exponential decay to algebraic for certain diffusive evolution equations . I will discuss show how the behaviour of the spectrum of the Dirichlet Laplacian in the two cases yields the passage from exponential decay in bounded domains to algebraic decay or no decay at all in the case of unbounded domains. It is well known that such rates of decay exist: the purpose here is to explain what makes the change in decay happen. I will also discuss what kind of data is needed to obtain various decay rates.