A priori Sobolev regularity for fully nonlinear parabolic equations
Edgard Pimentel
Universidade Federal de São Carlos
Edgard Pimentel
Universidade Federal de São Carlos
Philippe G. LeFloch
University of Paris 6 and CNRS
Nikolay Tzvetkov
Univ. de Cergy-Pontoise
Abstract: We will show that a natural class of gaussian measures living on Sobolev spaces of varying regularity are quasi-invariant under the flow of the two dimensional cubic defocusing wave equation. For that purpose, we introduce renormalised energies and we establish the associated energy estimates.
This is a joint work with Tadahiro Oh (Edinburgh University).
Por Darya Apushkinskaya (Saarland University, Saarbrücken, Germany).
Por Nazarov A. I. (St. Petersburg Dept of Steklov Institute and St. Petersburg State University).
Por Antonio Iannizzotto (Università degli Studi di Cagliari, Italy).
Eric Carlen
Rutgers University
Amit Einav
University of Cambridge
Abstract: Kinetic theory is the field of mathematics that deals with systems of many objects. In recent years, this field has seen an awakening and renewed interest, and has been the focus of attention of many prominent mathematicians. In this talk we will discuss recent advances in the field, mainly in relation to the Boltzmann-Nordheim equation and Kac’s Model, and tie them to the fields of Nonlinear PDEs, Functional Inequalities and Applied Probability.
Apresentação de Raquel Filipe.