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In this article we consider variable coefficient, time dependent wave equations in exterior domains.
Time decay for the nonlinear Klein-Gordon equations
Cathleen S. Morawetz · 1968
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Dispersal of waves vanishing on the boundary of an exterior domain
Walter A. Strauss · 1975
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Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
Robert S. Strichartz · 1977
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Local smoothing of Fourier integral operators and Carleson-Sjölin estimates
Gerd Mockenhaupt, Andreas Seeger, and Christopher D. Sogge · 1993
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On Strichartz and eigenfunction estimates for low regularity metrics
Hart F. Smith and Christopher D. Sogge · 1994
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On the Zakharov and Zakharov-Schulman systems
Carlos E. Kenig, Gustavo Ponce, and Luis Vega · 1995
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On the critical semilinear wave equation outside convex obstacles
Hart F. Smith and Christopher D. Sogge · 1995
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Endpoint Strichartz estimates
Markus Keel and Terence Tao · 1998
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A parametrix construction for wave equations with C 1 , 1 C^{1,1} coefficients
Hart F. Smith · 1998
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Global Strichartz estimates for nontrapping perturbations of the Laplacian
Hart F. Smith and Christopher D. Sogge · 2000
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Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation
Daniel Tataru · 2000
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Maximal functions associated to filtrations
Michael Christ and Alexander Kiselev · 2001
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Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. II
Daniel Tataru · 2001
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Almost global existence for some semilinear wave equations
Markus Keel, Hart F. Smith, and Christopher D. Sogge · 2002
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Sharp counterexamples for Strichartz estimates for low regularity metrics
Hart F. Smith and Daniel Tataru · 2002
Hyperbolic trapped rays and global existence of quasilinear wave equations
Jason Metcalfe and Christopher D. Sogge · 2005
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Angular regularity and Strichartz estimates for the wave equation
Jacob Sterbenz · 2005
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On the Morawetz–Keel-Smith-Sogge inequality for the wave equation on a curved background
Serge Alinhac · 2006
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Long-time existence of quasilinear wave equations exterior to star-shaped obstacles via energy methods
Jason Metcalfe and Christopher D. Sogge · 2006
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On the L p L^{p} norm of spectral clusters for compact manifolds with boundary
Hart F. Smith and Christopher D. Sogge · 2007
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Global existence for energy critical waves in 3-D domains
Nicolas Burq, Gilles Lebeau, and Fabrice Planchon · 2008
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Cited alongside, same era.
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. III
Daniel Tataru · 2002
Cited alongside, same era.
Global Strichartz estimates for nontrapping geometries: about an article by H. F. Smith and C. D. Sogge: “Global Strichartz estimates for nontrapping perturbations of the Laplacian” [Comm. Partial Differential Equation 25
N. Burq · 2003
Cited alongside, same era.
Global Strichartz estimates for solutions to the wave equation exterior to a convex obstacle
Jason L. Metcalfe · 2004
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Strichartz estimates for the wave equation on manifolds with boundary
Matthew Blair, Hart F. Smith, and Christopher D. Sogge
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On abstract strichartz estimates and the strauss conjecture for nontrapping obstacles
Kunio Hidano, Jason Metcalfe, Hart F. Smith, Christopher D. Sogge, and Yi Zhou
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Global parametrices and dispersive estimates for variable coefficient wave equations
Jason Metcalfe and Daniel Tataru
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Strichartz estimates and local smoothing estimates for asympototically flat Schrödinger equations
Jeremy Marzuola, Jason Metcalfe, and Daniel Tataru · 2008
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Parametrices and dispersive estimates for Schrödinger operators with variable coefficients
Daniel Tataru · 2008
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