Notes on Hyperbolic Partial Differential Equations
Published:
As part of my orals exam for PhD candidacy in the math department at Stony Brook, I’m currently reading a compilation of lecture notes and texts on nonlinear wave equations, harmonic analysis, geometry, and fluids (the first three forming the bulk of my major topic, and the latter forming my minor topic). The following notes I’ve written are based on my latest understanding of these topics. The content itself is not unique, having been based strongly upon my readings (which include lecture notes on nonlinear wave equations by Profs. Gustav Holzegel, Andrew Lawrie, and Jonathan Luk), but perhaps the organization is. Over this semester and the next, I will gradually be adding more material to these notes, and revising already existent notes.