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headshot of Xiangjin Xu

Xiangjin Xu

Associate Professor

Mathematical Sciences

Background

  1. Harmonic Analysis on Manifolds: eigenfunction estimates and multiplier problems on Riemannian manifolds, Gibbs' phenomenon and Pinsky's phenomenon for Fourier inversion and eigenfunction expansion.
  2. Nonlinear differential equations: Well-posedness problems for nonlinear hyperbolic differential equations on manifolds; Boundary stabilization, controllability problems for (linear and nonlinear) parabolic and hyperbolic PDE's on manifolds; Periodic solutions, subharmonics and homoclinic orbits

Education

  • BS, Nankai University
  • MS, Chern Institute of Mathematics
  • PhD, Johns Hopkins University