Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions

Guher Camliyurt; Carlos E. Kenig

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arXiv · 2508.15996

Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions

Guher Camliyurt·Carlos E. Kenig

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Abstract

We consider the focusing wave equation with energy supercritical nonlinearity in dimension four. We prove that any radial solution that remains bounded in the critical Sobolev space is global and scatters to free waves as $t \to \pm \infty$.

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Guher Camliyurt, Carlos E. Kenig. 2025-08-21. Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions. https://arxiv.org/abs/2508.15996

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