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- Lawrence Berkeley National LaboratoryUS540 papers
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Showing 2003 · math.APShow all
3 papers · 2 filters
math.AP2003★ 35 cited
Instability of the periodic nonlinear Schrodinger equation
Michael Christ, James Colliander, Terence Tao
We study the periodic non-linear Schrodinger equations with odd integer power nonlinearities, for initial data which are assumed to be small in some negative order Sobolev space, b…
math.AP2003★ 119 cited
Ill-posedness for nonlinear Schrodinger and wave equations
Michael Christ, James Colliander, Terence Tao
The nonlinear wave and Schrodinger equations on Euclidean space of any dimension, with general power nonlinearity and with both the focusing and defocusing signs, are proved to be…
math.AP2003★ 19 cited
Quantum resonances and partial differential equations
Maciej Zworski
Resonances, or scattering poles, are complex numbers which mathematically describe meta-stable states: the real part of a resonance gives the rest energy, and its imaginary part, t…