6 citations · 17 across the 8 of their papers we have counts for
7 papers · 1 filter
Strichartz estimates for the water-wave problem with surface tension
Hans Christianson, Vera Mikyoung Hur, Gigliola Staffilani
Strichartz-type estimates for one-dimensional surface water-waves under surface tension are studied, based on the formulation of the problem as a nonlinear dispersive equation. We…
Local smoothing effects for the water-wave problem with surface tension
Hans Christianson, Vera Mikyoung Hur, Gigliola Staffilani
This paper has been merged to 0908.3255.
Isomorphisms between Algebras of Semiclassical Pseudodifferential Operators
Hans Christianson
Following the work of Duistermaat-Singer \cite{DS} on isomorphisms of algebras of global pseudodifferential operators, we classify isomorphisms of algebras of microlocally defined…
Quantum Monodromy and Non-concentration near a Closed Semi-Hyperbolic Orbit
Hans Christianson
For a large class of semiclassical operators which includes Schrödinger operators on manifolds with boundary, we construct the Quantum Monodromy operator associated…
Applications of Cutoff Resolvent Estimates to the Wave Equation
Hans Christianson
We consider solutions to the linear wave equation on non-compact Riemannian manifolds without boundary when the geodesic flow admits a filamentary hyperbolic trapped set. We obtain…
Cutoff Resolvent Estimates and the Semilinear Schrödinger Equation
Hans Christianson
This paper shows how abstract resolvent estimates imply local smoothing for solutions to the Schrödinger equation. If the resolvent estimate has a loss when compared to the optimal…