41 citations · 48 across the 4 of their papers we have counts for
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Effective mass theorems for nonlinear Schroedinger equations
Christof Sparber
We consider time-dependent nonlinear Schroedinger equations subject to smooth, lattice-periodic potentials plus additional confining potentials, slowly varying on the lattice scale…
Semiclassical asymptotics for weakly nonlinear Bloch waves
Remi Carles, Peter A. Markowich, Christof Sparber
We study the simultaneous semi-classical and adiabatic asymptotics for a class of (weakly) nonlinear Schroedinger equations with a fast periodic potential and a slowly varying conf…
On the Long Time Behavior of the Quantum Fokker-Planck equation
C. Sparber, J. A. Carrillo, J. Dolbeault +1
We analyze the long time behavior of transport equations for a class of dissipative quantum systems with Fokker-planck type scattering operator, subject to confining potentials of…
Wigner Functions versus WKB-Methods in Multivalued Geometrical Optics
Christof Sparber, Peter A. Markowich, Norbert J. Mauser
We consider the Cauchy-problem for a class of scalar linear dispersive equations with rapidly oscillating initial data. The problem of high-frequency asymptotics of such models is…