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math.AP2003
Nonlinear Schrodinger equations with Stark potential
Remi Carles, Yoshihisa Nakamura
We study the nonlinear Schrodinger equations with a linear potential. A change of variables makes it possible to deduce results concerning finite time blow up and scattering theory…
math.AP2003★ 4 cited
Focusing at a point with caustic crossing for a class of nonlinear equations
Remi Carles, David Lannes
We consider the asymptotic behavior of solutions to nonlinear partial differential equations in the limit of short wavelength. For initial data which cause focusing at one point, w…