The radial defocusing energy-supercritical cubic nonlinear wave equation in ℝ¹⁺⁵

Authors

Aynur Bulut, Institute for Advanced Studies

Document Type

Article

Publication Date

8-1-2014

Abstract

In this work, we establish a frequency localized version of the classical Morawetz inequality adapted to almost periodic solutions of the defocusing cubic nonlinear wave equation in dimension d = 5. As an application, we conclude that radial solutions to this equation that remain bounded in the critical homogeneous Sobolev space exist globally in time and scatter. © 2014 IOP Publishing Ltd & London Mathematical Society.

Publication Source (Journal or Book title)

Nonlinearity

First Page

1859

Last Page

1877

Recommended Citation

Bulut, A. (2014). The radial defocusing energy-supercritical cubic nonlinear wave equation in ℝ¹⁺⁵. Nonlinearity, 27 (8), 1859-1877. https://doi.org/10.1088/0951-7715/27/8/1859