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Pointwise decay for semilinear wave equations on Kerr spacetimes

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In this article, we prove pointwise bounds for solutions to the semilinear wave equation with integer powers $$p\ge 3$$ p ≥ 3 on Kerr backgrounds with small angular momentum and… Click to show full abstract

In this article, we prove pointwise bounds for solutions to the semilinear wave equation with integer powers $$p\ge 3$$ p ≥ 3 on Kerr backgrounds with small angular momentum and small initial data. We expect that the bounds proved in this paper are optimal.

Keywords: semilinear wave; equations kerr; kerr spacetimes; decay semilinear; wave equations; pointwise decay

Journal Title: Letters in Mathematical Physics
Year Published: 2022

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