Blow up phenomenon in the energy space for the critical generalized KdV equation

Yvan Martel
Ecole Polytechnique, France

This work is in collaboration with Prof. F. Merle. We prove
the existence of a large class of solutions of the critical generalized
KdV equation that blow up in finite time in the energy space.
We give a blow up profile information as well as an upper bound on the
blow up rate.


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