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arXiv · 1104.2002

The radial defocusing energy-supercritical cubic nonlinear wave equation in R^{1+5}

Aynur Bulut
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Abstract

In this work, we consider the energy-supercritical defocusing cubic nonlinear wave equation in dimension d=5 for radially symmetric initial data. We prove that an a priori bound in the critical space implies global well-posedness and scattering. The main tool that we use is a frequency localized version of the classical Morawetz inequality, inspired by recent developments in the study of the mass and energy critical nonlinear Schrödinger equation.

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Aynur Bulut. 2011-04-11. The radial defocusing energy-supercritical cubic nonlinear wave equation in R^{1+5}. https://doi.org/10.1088/0951-7715%2F27%2F8%2F1859

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