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Jason Metcalfe

Professor, Department of Mathematics

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Home » 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-Nördstrom 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)