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The constancy of the rescaled Hamiltonian in the energy-critical case
Let $Q$ be the rescaled profile and let $H[Q]$ denote its rescaled Hamiltonian. The criticality index is $s_c=1$ in the energy-critical case. Constancy conjecture. The rescaled Ham…
Conjectureopenblow-up-dynamics energy-criticality nonlinear-schrodinger-equationsarXiv posted 2 days ago

The constancy of the rescaled Hamiltonian in the energy-critical case