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Texas A&M University
Mathematics

Postdoc Lunch Time Talks

Date: October 25, 2019

Time: 12:00PM - 12:20PM

Location: BLOC 220

Speaker: Bob Booth, Texas A&M University

  

Description:

Title: Some Existence Results for Nonlinear Wave Equations

Abstract: We will discuss long-time and global existence results for nonlinear wave equations with small initial data. High dimensional solutions enjoy an improvement in their life-span compared to the three-dimensional case, where one can only obtain `almost global existence' (as opposed to global existence). We will review prior results, including works of Klainerman, John-Klainerman, Keel-Smith-Sogge, and Metcalfe-Sogge. If time permits, we will discuss classes of non-trapping, asymptotically Euclidean wave operators which can be large perturbations of the typical D'Alembertian operator.