5.7k citations
- Space Telescope Science InstituteUS69 papers
- Goddard Space Flight CenterUS65 papers
- University of OxfordGB43 papers
- University of California, Los AngelesUS40 papers
- University of ChicagoUS40 papers
- California Institute of TechnologyUS35 papers
- Fermi National Accelerator LaboratoryUS35 papers
- Center for Astrophysics Harvard & SmithsonianUS31 papers
- Princeton UniversityUS31 papers
- The Ohio State UniversityUS31 papers
- University of California, BerkeleyUS31 papers
- University of MichiganUS31 papers
4 papers · 2 filters
Nonlinear hyperbolic equations in infinite homogeneous waveguides
Jason Metcalfe, Christopher D. Sogge, Ann Stewart
In this paper we prove global and almost global existence theorems for nonlinear wave equations with quadratic nonlinearities in infinite homogeneous waveguides. We can handle both…
Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition
Jason Metcalfe, Makoto Nakamura, Christopher D. Sogge
We prove global existence of solutions to multiple speed, Dirichlet-wave equations with quadratic nonlinearities satisfying the null condition in the exterior of compact obstacles.…
Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains
Jason Metcalfe, Makoto Nakamura, Christopher D. Sogge
In this paper we prove global existence for certain multispeed Dirichlet-wave equations with quadratic nonlinearities outside of obstacles. We assume the natural null condition for…
Dispersive Bounds for the three-dimensional Schrodinger equation with almost critical potentials
Michael Goldberg
We prove a dispersive estimate for the time-independent Schrodinger operator H = -Δ+ V in three dimensions. The potential V(x) is assumed to lie in the intersection L^p(R^3) \cap L…