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math.AP2011★ 9 cited
Sobolev stability of plane wave solutions to the cubic nonlinear Schrödinger equation on a torus
Erwan Faou, Ludwig Gauckler, Christian Lubich
It is shown that plane wave solutions to the cubic nonlinear Schrödinger equation on a torus behave orbitally stable under generic perturbations of the initial data that are small…
math.AP2011★ 1 cited
Operator splitting for partial differential equations with Burgers nonlinearity
Helge Holden, Christian Lubich, Nils Henrik Risebro
We provide a new analytical approach to operator splitting for equations of the type where is a linear differential operator such that the equation is well-posed…