MenuMathematical Physics and Harmonic Analysis Seminar
Date: September 6, 2019
Time: 1:50PM - 2:50PM
Location: BLOC 628
Speaker: Robert Booth, Texas A&M University
Title: Almost Global Existence for Asymptotically Euclidean Quasilinear Wave Equations
Abstract: In this talk, we will discuss a recent result demonstrating almost global existence for a class of non-trapping asymptotically Euclidean quasilinear wave equations with small initial data. A novel feature is that the wave operator may be a large perturbation of the usual D'Alembertian operator. The solution is constructed via an iteration argument based on local energy estimates for an appropriately linearized version of our wave equation. Techniques used to develop the key local energy estimate include microlocal analysis, Carleman estimates, and positive commutator arguments.
