Pointwise decay for semilinear wave equations on Kerr spacetimes

Abstract

In this article we prove optimal pointwise bounds for solutions to the semilinear wave equation with integer powers $p\ge 3$ on Kerr backgrounds with small angular momentum and small initial data.

19 pages, acknowledgments and minor mistakes corrected

References in corpus (2)

• Pointwise decay for the wave equation on nonstationary spacetimes
• Global Stability of the Nontrivial Solutions to the Wave Map Problem from Kerr $|a|\ll M$ to the Hyperbolic Plane under Axisymmetric Perturbations Preserving Angular Momentum

Cited by in corpus (2)

• The weak null condition on Kerr backgrounds
• Sharp decay for Teukolsky equation in Kerr spacetimes