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Sharp Global well-posedness and scattering for the radial conformal nonlinear wave equation

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arxiv 2305.15633 v1 pith:WKCCFQGK submitted 2023-05-25 math.AP

classification math.AP
keywords scatteringconformalequationglobalnonlinearradialresultsharp
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abstract

In this paper we prove global well-posedness and scattering for the conformal, defocusing, nonlinear wave equation with radial initial data in the critical Sobolev space, for dimensions $d \geq 4$. This result extends a previous result proving sharp scattering in the three dimensional case.

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