The University of North Carolina at Chapel Hill

Slides:

• Almost global existence for 3-d systems of nonlinear wave equations
• Localized energy estimates for wave equations in the presence of degenerate trapping
• Local energy decay for the wave equation
• Decay of electromagnetic waves on black hole backgrounds
• Local well-posedness for quasilinear Schrödinger equations
• The Strauss conjecture on black hole backgrounds
• Dispersive estimates for wave equations on black hole backgrounds
• Price’s law on nonstationary space-times
• Localized energy estimates on high dimensional Schwarzschild blackhole backgrounds
• Long time existence for quasilinear wave equations in exterior domains
• Strichartz estimates for the wave equation on 3D hyperbolic space
• Abstract Strichartz estimates and the Strauss conjecture for the wave equation in exterior domains
• Nonlinear hyperbolic equations in infinite homogeneous waveguides
• On Keel-Smith-Sogge estimates and quasilinear wave equations in exterior domains
• Quasilinear wave equations in exterior domains
• Elastic waves in exterior domains
• A multiplier approach to KSS estimates and applications
• Nonlinear hyperbolic equations in waveguides
• Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains
• Global Strichartz estimates for solutions of the wave equation in exterior domains
• A survey of existence results for nonlinear wave equations in exterior domains

Videos:

• Banff: The Strauss conjecture on black hole backgrounds. (2014)
• MSRI: Global-in-time Strichartz estimates for asymptotically flat Schrödinger equations. (2007)