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Propagation and reflection of singularities for the nonlinear Schrödinger equation. (Propagation et réflexion des singularités pour l’équation de Schrödinger non linéaire.) (French) Zbl 1088.35066

The author studies propagation and reflection of singularities of solutions to the nonlinear Schrödinger equation under boundary conditions of the Dirichlet to Neumann type. The method used is the so-called paradifferential calculation.

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
35S50 Paradifferential operators as generalizations of partial differential operators in context of PDEs
35A21 Singularity in context of PDEs
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References:

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