most citedStrichartz estimates for the water-wave problem with surface tension

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math.AP2009★ 1 cited

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…

math.AP2008★ 3 cited

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.

math.AP2006★ 1 cited

Dispersive Estimates for Manifolds with one Trapped Orbit

Hans Christianson

For a large class of complete, non-compact Riemannian manifolds, , with boundary, we prove high energy resolvent estimates in the case where there is one trapped hyperbolic…