119 citations
- University of California, Los AngelesUS8 papers
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math.AP2007★ 5 cited
Contraction semigroups of elliptic quadratic differential operators
Karel Pravda-Starov
We study the contraction semigroups of elliptic quadratic differential operators. Elliptic quadratic differential operators are the non-selfadjoint operators defined in the Weyl qu…
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…