Global Behavior of Solutions to the Focusing 3d Cubic Nonlinear Schrodinger Equation
We consider solutions u to the 3d nonlinear Schrodinger equation i(partial differential)(t)u + Deltaw + |u|2u = 0. In particular, we are interested in finding criteria on the initial data u0 that predict the asymptotic behavior of u(t): whether u(t) blows-up in finite time, exists globally in time b...
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