72 citations · 139 across the 21 of their papers we have counts for
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math.AP2010★ 7 cited
Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary
Matthew D. Blair, Hart F. Smith, Christopher D. Sogge
We establish Strichartz estimates for the Schrödinger equation on Riemannian manifolds $(Ω,\g)$ with boundary, for both the compact case and the case that is the exterior of a…
math.AP2010★ 11 cited
Strichartz estimates for the Schrödinger equation on polygonal domains
Matthew D. Blair, G. Austin Ford, Sebastian Herr +1
We prove Strichartz estimates with a loss of derivatives for the Schrödinger equation on polygonal domains with either Dirichlet or Neumann homogeneous boundary conditions. Using a…