Publications of Christof Sparber
On nonlinear Schrödinger type equations with nonlinear damping.
Int. Math. Res. Not.,
2015(3):740--762, 2015.
WKB analysis of Bohmian dynamics.
Comm. Pure Appl. Math.,
67(4):581--620, 2014.
MR3168122
Dispersive blow-up for nonlinear Schrödinger equations revisited.
J. Math. Pures Appl. (9),
102(4):782--811, 2014.
MR3258130
Numerical study of fractional nonlinear Schrödinger equations.
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.,
470(2172):20140364, 26, 2014.
MR3269035
Well-posedness and averaging of NLS with time-periodic dispersion management.
Adv. Differential Equations,
18(1-2):49--68, 2013.
MR3052710
Optimal bilinear control of Gross-Pitaevskii equations.
SIAM J. Control Optim.,
51(3):2509--2543, 2013.
MR3069086
On the Cauchy problem for nonlinear Schrödinger equations with rotation.
Discrete Contin. Dyn. Syst.,
32(3):703--715, 2012.
MR2851876
Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials.
Discrete Contin. Dyn. Syst. Ser. B,
17(3):759--774, 2012.
MR2873114
Ground state properties of graphene in Hartree-Fock theory.
J. Math. Phys.,
53(9):095220, 27, 2012.
MR2905802
Nonlinear dynamics of semiclassical coherent states in periodic potentials.
J. Phys. A,
45(24):244032, 14, 2012.
MR2930527
On the dynamics of Bohmian measures.
Arch. Ration. Mech. Anal.,
205(3):1031--1054, 2012.
MR2960039
The Wigner-Fokker-Planck equation: stationary states and large time behavior.
Math. Models Methods Appl. Sci.,
22(11):1250034, 31, 2012.
MR2974172
Geometric optics and instability for NLS and Davey-Stewartson models.
J. Eur. Math. Soc. (JEMS),
14(6):1885--1921, 2012.
MR2984591
Transverse stability of periodic traveling waves in Kadomtsev-Petviashvili equations: a numerical study.
In Recent advances in harmonic analysis and partial differential equations,
pages 155--168. Amer. Math. Soc., Providence, RI, 2012.
MR3013057
Semiclassical quantum dynamics and Bohmian trajectories.
Int. Math. Nachr.,
219:1--11, 2012.
Existence of solitary waves in dipolar quantum gases.
Phys. D,
240(4-5):426--431, 2011.
MR2748730
Mathematical and computational methods for semiclassical Schrödinger equations.
Acta Numer.,
20:121--209, 2011.
MR2805153
Thermal effects in gravitational Hartree systems.
Ann. Henri Poincaré,
12(6):1055--1079, 2011.
MR2823208
Numerical simulation of trapped dipolar quantum gases: collapse studies and vortex dynamics.
Kinet. Relat. Models,
3(1):181--194, 2010.
MR2580959
Multiphase weakly nonlinear geometric optics for Schrödinger equations.
SIAM J. Math. Anal.,
42(1):489--518, 2010.
MR2607351
Bohmian measures and their classical limit.
J. Funct. Anal.,
259(6):1542--1576, 2010.
MR2659771
High-frequency averaging in semi-classical Hartree-type equations.
Asymptot. Anal.,
70(1-2):87--100, 2010.
MR2731651
Global well-posedness for cubic NLS with nonlinear damping.
Comm. Partial Differential Equations,
35(12):2310--2328, 2010.
MR2763357
Bloch decomposition-based method for high frequency waves in periodic media.
In Some problems on nonlinear hyperbolic equations and applications,
pages 161--188. Higher Ed. Press, Beijing, 2010.
MR2816450
A note on the time decay of solutions for the linearized Wigner-Poisson system.
Kinet. Relat. Models,
2(1):181--189, 2009.
MR2472154
On the Bloch decomposition based spectral method for wave propagation in periodic media.
Wave Motion,
46(1):15--28, 2009.
MR2477041
Geometric currents in piezoelectricity.
Arch. Ration. Mech. Anal.,
191(3):387--422, 2009.
MR2481065
Rigorous derivation of the hydrodynamical equations for rotating superfluids.
Math. Models Methods Appl. Sci.,
18(5):689--706, 2008.
MR2413034
Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential.
J. Differential Equations,
245(4):939--963, 2008.
MR2427402
Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials.
Multiscale Model. Simul.,
7(2):539--564, 2008.
MR2443002
On the Gross-Pitaevskii equation for trapped dipolar quantum gases.
Nonlinearity,
21(11):2569--2590, 2008.
MR2448232
Classical limit for semirelativistic Hartree systems.
J. Math. Phys.,
49(10):102110, 10, 2008.
MR2464606
A Bloch decomposition-based split-step pseudospectral method for quantum dynamics with periodic potentials.
SIAM J. Sci. Comput.,
29(2):515--538 (electronic), 2007.
MR2306256
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation.
J. Nonlinear Sci.,
17(5):429--470, 2007.
MR2361416
Stability of steady states in kinetic Fokker-Planck equations for bosons and fermions.
Commun. Math. Sci.,
5(4):765--777, 2007.
MR2375045
Effective mass theorems for nonlinear Schrödinger equations.
SIAM J. Appl. Math.,
66(3):820--842 (electronic), 2006.
MR2216722
A time-splitting spectral scheme for the Maxwell-Dirac system.
J. Comput. Phys.,
208(2):761--789, 2005.
Existence of global-in-time solutions to generalized Dirac-Fock type evolution equation.
Lett. Math. Phys.,
72(2):99--113, 2005.