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math.AP2019★ 1 cited
Size of data in implicit function problems and singular perturbations for nonlinear Schrödinger systems
Pietro Baldi, Emanuele Haus
We investigate a general question about the size and regularity of the data and the solutions in implicit function problems with loss of regularity. First, we give a heuristic expl…
math.AP2016
Non-Existence of Theta-Shaped Self-Similarly Shrinking Networks Moving by Curvature
Pietro Baldi, Emanuele Haus, Carlo Mantegazza
We prove that there are no networks homeomorphic to the Greek "theta" letter (a double cell) embedded in the plane with two triple junctions with angles of degrees, such that…
math.AP2012
Dynamics on resonant clusters for the quintic non linear Schrödinger equation
Emanuele Haus, Laurent Thomann
We construct solutions to the quintic nonlinear Schrödinger equation on the circle with initial conditions supported on arbitrarily many different resonant clusters. This is a sequ…