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math.AP2016
Long-term analysis of semilinear wave equations with slowly varying wave speed
Ludwig Gauckler, Ernst Hairer, Christian Lubich
A semilinear wave equation with slowly varying wave speed is considered in one to three space dimensions on a bounded interval, a rectangle or a box, respectively. It is shown that…
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…