Matthew D. Blair

most citedOn Strichartz estimates for Schrödinger operators in compact manifolds with boundary

3 citations · 3 across the 3 of their papers we have counts for

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math.AP2011

Strichartz estimates for the wave equation on flat cones

Matthew D. Blair, G. Austin Ford, Jeremy L. Marzuola

We consider the solution operator for the wave equation on the flat Euclidean cone over the circle of radius $ρ > 0$ , the manifold $R_{+} \times R /2 π ρ Z$ …

math.AP2006

On multilinear spectral cluster estimates for manifolds with boundary

Matthew D. Blair, Hart F. Smith, Christopher D. Sogge

We prove sharp bilinear estimates for Dirichlet or Neumann eigenfunctions in domains in the plane. These are the natural analog of earlier estimates for the boundaryless case of Bu…

math.AP2006★ 3 cited

On Strichartz estimates for Schrödinger operators in compact manifolds with boundary

Matthew D. Blair, Hart F. Smith, Christopher D. Sogge

We prove local Strichartz estimates on compact manifolds with boundary. Our results also apply more generally to compact manifolds with Lipschitz metrics.