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math.AP2011★ 1 cited
Inverse Boundary Problems for Systems in Two Dimensions
Pierre Albin, Colin Guillarmou, Leo Tzou +1
We prove identification of coefficients up to gauge by Cauchy data at the boundary for elliptic systems on oriented compact surfaces with boundary or domains of . In th…
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…