 Morawetz estimate for the defocusing wave equation

ID: morawetz-estimate-for-the-defocusing-wave-equation

For a finite-energy defocusing power-wave solution in three dimensions,

\int_{0}^{\infty} \int_{R^{3}} \frac{∣ u ( t , x ) ∣ ^{p + 1}}{∣ x ∣} d x d t ≲ E (u (0)) .

Hardy's inequality bounds the Morawetz action by the conserved energy.

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