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math.AP2016
Double Scattering Channels for NLS in the Energy Space and its Generalization to Higher Dimensions
Luigi Forcella, Nicola Visciglia
We consider a class of NLS perturbed with a steplike potential. We prove that the nonlinear solutions satisfy the double scattering channels in the energy space. The proof is…
math.AP2016
The electrostatic limit for the 3D Zakharov system
Paolo Antonelli, Luigi Forcella
We consider the vectorial Zakharov system describing Langmuir waves in a weakly magnetized plasma. In its original derivation the evolution for the electric field envelope is gover…