G. A. Ford

activity

20092015

most citedThe fundamental solution and Strichartz estimates for the Schrödinger equation on flat euclidean cones

16 citations · 27 across the 3 of their papers we have counts for

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5 papers · 1 filter

math.AP2015

$L^{p}$ -bounds on spectral clusters associated to polygonal domains

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

We look at the $L^{p}$ bounds on eigenfunctions for polygonal domains (or more generally Euclidean surfaces with conic singularities) by analysis of the wave operator on the flat Euc…

math.AP2014

The diffractive wave trace on manifolds with conic singularities

G. Austin Ford, Jared Wunsch

Let $(X, g)$ be a compact manifold with conic singularities. Taking $Δ_{g}$ to be the Friedrichs extension of the Laplace-Beltrami operator, we examine the singularities of the trace…

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.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…

math.AP2009★ 16 cited

The fundamental solution and Strichartz estimates for the Schrödinger equation on flat euclidean cones

G. Austin Ford

We study the Schrödinger equation on a flat euclidean cone $R_{+} \times S_{ρ}^{1}$ of cross-sectional radius $ρ > 0$ , developing asymptotics for the fundamental solutio…