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Semi-classical analysis of a conjoint crossing of three symmetric modes
Clotilde Fermanian-Kammerer, Vidian Rousse
In this article we focus on a semiclassical Schrödinger equation with matrix-valued potential presenting a symmetric conjoint crossing of three eigenvalues. The potential we consid…
On the role of quadratic oscillations in nonlinear Schroedinger equations II. The -critical case
Remi Carles, Sahbi Keraani
We consider a nonlinear semi-classical Schroedinger equation for which quadratic oscillations lead to focusing at one point, described by a nonlinear scattering operator. The relev…
On the role of quadratic oscillations in nonlinear Schrodinger equations
Remi Carles, Clotilde Fermanian-Kammerer, Isabelle Gallagher
We consider a nonlinear semi-classical Schrodinger equation for which it is known that quadratic oscillations lead to focusing at one point, described by a nonlinear scattering ope…