119 citations
- University of California, Los AngelesUS8 papers
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- European Organization for Nuclear ResearchCH3 papers
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- California Institute of TechnologyUS2 papers
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Showing 2003 · math.APShow all
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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…