Critical non-linear dispersive equations: global existence, scattering, blow-up and universal profiles |
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Authors: | Carlos Kenig |
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Institution: | 1. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA
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Abstract: | We discuss recent progress in the understanding of the global behavior of solutions to critical non-linear dispersive equations.
The emphasis is on global existence, scattering and finite time blow-up. For solutions that are bounded in the critical norm,
but which blow-up in finite time, we also discuss the issue of universal profiles at the blow-up time. |
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