Asymptotics for nonlocal evolution equations
Date: Mon, Dec 1 2008
Location: Gran vía, 35 2a Planta 48009 Bilbao
Speakers: Liviu Ignat
In this talk, we will discuss the applicability of energy methods to obtain bounds for the asymptotic decay of solutions to nonlocal di usion problems. We will consider equations like
ut(x, t) = ∫R J(x, y)(u(y, t) − u(x, t))dy + f(u)(x, t),
and a nonlocal analogous to the p-Laplacian
ut(x, t) = ∫R J(x, y)|u(y) − u(x)|^p−2 (u(y, t) − u(x, t))dy.
With these energy methods, we can deal with nonlocal problems that do not necessarily involve a convolution, that is, J(x+y) = J(x-y), equations that have been treated before using di erent techniques.
Joint work with Julio Rossi.
Non-self-adjoint operators and their spectra
Aula BCAM-UPV/EHU Seminar: Relevant phenomena in pedestrian dynamics and how to computationally model them.
Dariel Hernández (BCAM)