176 citations · 291 across the 11 of their papers we have counts for
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math.AP2011
Strichartz estimates for the wave equation on flat cones
Matthew D. Blair, G. Austin Ford, Jeremy L. Marzuola
We consider the solution operator for the wave equation on the flat Euclidean cone over the circle of radius , the manifold …
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…
math.AP2011
On instability of some approximate periodic solutions for the full nonlinear Schrödinger equation
Scipio Cuccagna, Jeremy L. Marzuola
Using the Fermi Golden Rule analysis developed in several results by the first author, we prove asymptotic stability of asymmetric nonlinear bound states bifurcating from linear bo…