586 citations
- Centre National de la Recherche ScientifiqueFR8 papers
- University of California, BerkeleyUS7 papers
- Canadian Institute for Theoretical AstrophysicsCA5 papers
- University of Notre DameUS5 papers
- California Institute of TechnologyUS4 papers
- University of Southern CaliforniaUS4 papers
- Engineering Systems (United States)US3 papers
- Laboratoire Charles FabryFR3 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR3 papers
- Massachusetts Institute of TechnologyUS3 papers
- Princeton UniversityUS3 papers
- Stony Brook UniversityUS3 papers
6 papers · 1 filter
On an isoperimetric inequality for a Schrodinger operator depending on the curvature of a loop
Almut Burchard, Lawrence E. Thomas
Let C be a smooth closed curve of length 2 Pi in R^3, and let k(s) be its curvature, regarded as a function of arc length. We associate with this curve the one-dimensional Schrodin…
Semi-Classical Behavior of the Spectral Function
Ivana Alexandrova
We study the semi-classical behavior of the spectral function of the Schrödinger operator with short range potential. We prove that the spectral function is a semi-classical Fourie…
Structure of the Semi-Classical Amplitude for General Scattering Relations
Ivana Alexandrova
We consider scattering by general compactly supported semi-classical perturbations of the Euclidean Laplace-Beltrami operator. We show that if the suitably cut-off resolvent of the…
Semi-Classical Wavefront Set and Fourier Integral Operators
Ivana Alexandrova
We define and prove some properties of the semi-classical wavefront set. We also define and study semi-classical Fourier integral operators, of which we give a complete characteriz…
Effective Dynamics of Magnetic Vortices
S. Gustafson, I. M. Sigal
We study solutions of Ginzburg-Landau-type evolution equations (both dissipative and Hamiltonian) with initial data representing collections of widely-spaced vortices. We show that…
Instability of the periodic nonlinear Schrodinger equation
Michael Christ, James Colliander, Terence Tao
We study the periodic non-linear Schrodinger equations with odd integer power nonlinearities, for initial data which are assumed to be small in some negative order Sobolev space, b…