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Showing 2011 · math.APShow all
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math.AP2011★ 2 cited
Semi-classical dispersive estimates
Fernando Cardoso, Claudio Cuevas, Georgi Vodev
We prove dispersive estimates for the wave and Schrodinger groups associated to a second-order elliptic self-adjoint operator depending on a semi-classical parameter. Applications…
math.AP2011
Nonlinear quasimodes near elliptic periodic geodesics
Pierre Albin, Hans Christianson, Jeremy L. Marzuola +1
We consider the nonlinear Schrödinger equation on a compact manifold near an elliptic periodic geodesic. Using a geometric optics construction, we construct quasimodes to a nonline…