733 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of North Carolina at Chapel HillUS57 papers
- Duke UniversityUS4 papers
- The University of TokyoJP4 papers
- Applied Physical Sciences (United States)US3 papers
- Carnegie Mellon UniversityUS3 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Massachusetts Institute of TechnologyUS3 papers
- San Diego State UniversityUS3 papers
- Sorbonne UniversitéFR3 papers
- University of SalzburgAT3 papers
- California Institute of TechnologyUS2 papers
- Cornell UniversityUS2 papers
4 papers · 1 filter
Higher Dimensional Vortex Standing Waves for Nonlinear Schr{ö}dinger Equations
Jeremy L. Marzuola, Michael E. Taylor
We study standing wave solutions to nonlinear Schr{ö}dinger equations, on a manifold with a rotational symmetry, which transform in a natural fashion under the group of rotations.…
The Structure of Global Attractors for Dissipative Zakharov Systems with Forcing on the Torus
M. Burak Erdogan, Jeremy L. Marzuola, Katherine A. Newhall +1
The Zakharov system was originally proposed to study the propagation of Langmuir waves in an ionized plasma. In this paper, motivated by earlier work of the first and third authors…
Exterior mass estimates and restriction bounds for Neumann data along hypersurfaces
Hans Christianson, Andrew Hassell, John A. Toth
We study the problem of estimating the norm of Laplace eigenfunctions on a compact Riemannian manifold when restricted to a hypersurface . We prove mass estimates for…
Local smoothing for the Schrödinger equation with a prescribed loss
Hans Christianson, Jared Wunsch
We consider a family of surfaces of revolution, each with a single periodic geodesic which is degenerately unstable. We prove a local smoothing estimate for solutions to the linear…