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arXiv · 2201.07128

Global solvabilty for nonlinear wave equations with singular potential

Vladimir Georgiev·Hideo Kubo
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Abstract

In this work we study the global existence for 3d semilinear wave equation with non-negative potential satisfying generic decay assumptions. In the supercritical case we establish the small data global existence result. The approach is based on appropriate conformal energy estimate in combination with Hardy inequality for conformal energy on space - like surfaces.

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Vladimir Georgiev, Hideo Kubo. 2022-01-18. Global solvabilty for nonlinear wave equations with singular potential. https://arxiv.org/abs/2201.07128

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