The University of North Carolina at Chapel Hill
Jason Metcalfe
Bowman and Gordon Gray Distinguished Term Professor, Department of Mathematics
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Students
Ph.D. students
Parul Laul.
Localized energy estimates of the wave equation on higher dimensional hyperspherical Schwarzschild spacetimes.
(2011).
John Helms.
The sharp lifespan for quasilinear wave equations in exterior domains with polynomial local energy decay.
(2012).
Jacob Perry.
Localized energy estimates for wave equations exterior to non-star-shaped obstacles.
(2018)
Robert Booth.
Almost global existence for quasilinear wave equations on non-trapping asymptotically flat backgrounds.
(2018)
Katrina Morgan.
Wave decay in the asymptotically flat stationary setting.
(2019)
Masters students
Robert Booth.
Energy estimates on asymptotically flat surfaces of revolution.
(2011)
Anna Geyer.
Localized energy estimates for solutions to the wave equation in Minkowski, Schwarzschild, and Reissner-NÃ¶rdstrom space-times
. (2011)
Undergraduate Honors Theses
Jacob Perry.
Solutions to quasilinear wave equations in homogeneous waveguides with Neumann boundary conditions.
(2010)
Bryan Lloyd.
A localized energy estimate exterior to a class of almost star-shaped obstacles.
(2013)
Shreyas Tikare.
Localized energy estimates for wave equations on higher dimensional black holes
[Highest honors] (2014)
David Spencer.
Global existence in a coupled wave system
[Highest honors] (2017)
Difan Li.
Local energy estimates for wave equations with degenerate trapping
(2019)