Probability Seminar: Khoa LĂȘ
Topic
Propagation of high moments for parabolic Anderson model
Speakers
Details
The parabolic Anderson model is the heat equation perturbed by a multiplicative noise. In case of Gaussian noise with non-trivial constant initial datum, the n-th moment of the solution grows exponentially fast in long term over the whole spatial domain. If the initial datum is localized, the moment grows exponentially only inside a space-time cone. Outside of the cone, the moment decays exponentially in long term. We will discuss how to specify these cones. The talk is based on a joint work with Jingyu Huang and David Nualart (available on arXiv:1509.00897).
Additional Information
Location: ESB 2012
Khoa LĂȘ, University of Calgary and PIMS
Khoa LĂȘ, University of Calgary and PIMS
This is a Past Event
Event Type
Scientific, Seminar
Date
March 2, 2016
Time
-
Location