Publications and Preprints
Hart F. Smith
Recent Publications
(PDF format).
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Sharp local well-posedness results for the nonlinear wave equation.
Ann. of Math. (2) 162 (2005), 291-366.
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Spectral cluster estimates for C^{1,1} metrics .
Amer. Jour. Math. 128 (2006), 1069-1103.
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Sharp L^2-L^q bounds on spectral projectors for low regularity metrics .
Math. Res. Lett. 13 (2006), no.6, 967-974.
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On the L^p norm of spectral clusters for compact manifolds with boundary .
Acta Math. 198 (2007), 107-153.
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Sharp L^q bounds on spectral clusters for Holder metrics .
Math. Res. Lett. 14 (2007), no.1, 77-85.
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On Strichartz estimates for Schrodinger operators in compact manifolds
with boundary.
Proc. Amer. Math. Soc. 136 (2008), 247-256.
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On multilinear spectral cluster estimates for manifolds with boundary.
Math. Res. Lett. 15 (2008), 419-426.
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A multi-scale approach to hyperbolic evolution equations with
limited smoothness (8.4 MB).
Comm. Partial Differential Equations 33 (2008), 988-1017.
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Subcritical L^p bounds on spectral clusters for Lipschitz metrics .
Math. Res. Lett. 15 (2008), 993-1002.
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Seismic imaging with the generalized Radon transform: a curvelet transform perspective .
Inverse Problems 25 (2009), no. 2, 025005, 21 pp.
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Strichartz estimates for the wave equation on manifolds with boundary .
Ann. Inst. H. Poincare Anal. Non Lineaire 26 (2009), no.5, 1817-1829.
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On abstract Strichartz estimates and the Strauss conjecture for non-trapping obstacles .
Trans. Amer. Math. Soc. 362 (2010), no. 5, 2789-2809.
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Strichartz estimates and the nonlinear Schrodinger equation on manifolds with boundary .
Math. Ann. 354 (2012), 1397-1430.
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Decoupling of modes for the elastic wave equation in media of limited smoothness .
Comm. Partial Differential Equations 36 (2011), 1683-1693.
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Strichartz estimates for Dirichlet-wave equations in two dimensions with applications .
Trans. Amer. Math. Soc. 364 (2012), 3329-3347.
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Global well-posedness and scattering for defocusing energy-critical NLS in the exterior of balls with radial data .
Math. Res. Lett. 19 (2012), 213-232.
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Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations of limited smoothness .
Appl. Comput. Harmon. Anal. 33 (2012), 330-353.
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Sharp bounds on spectral clusters for Lipschitz metrics . Amer. J. Math.
(to appear).
Preprints
(PDF format).