We study some qualitative properties of global solutions to the focusing and defocusing critical NLW, with initial data (f, g) in the energy space. We prove that the solutions u(t, x) satisfy a family of identities, that turn out to be a precised version of the classical Morawetz estimates. As a by–product we deduce that any global solution to critical NLW satisfy a suitable space-time version of the equipartition of the energy.
On the equipartition of the energy for the critical NLW
VISCIGLIA, NICOLA
2008-01-01
Abstract
We study some qualitative properties of global solutions to the focusing and defocusing critical NLW, with initial data (f, g) in the energy space. We prove that the solutions u(t, x) satisfy a family of identities, that turn out to be a precised version of the classical Morawetz estimates. As a by–product we deduce that any global solution to critical NLW satisfy a suitable space-time version of the equipartition of the energy.File in questo prodotto:
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