Pointwise Convergence of the Klein–Gordon Flow
Abstract
Abstract. We consider the PDEs version of the Carleson problem in the context of the cubic nonlinear Klein–Gordon equation. This means that we aim to establish the lowest regularity class for which one has almost everywhere pointwise convergence of the solutions to the initial data, as [Formula: see text]. We prove sharp results for initial data in Sobolev spaces and for their randomized counterparts.
Fields of Study & Subjects
Fluid Dynamics and Turbulent Flows
Geometric Analysis and Curvature Flows
Rheology and Fluid Dynamics Studies
Publication details
- Journal / source
- SIAM Journal on Mathematical Analysis
- Volume
- 58
- Issue
- 2
- Pages
- 1341–1366
- Publication date
- 3 April 2026
- Language
- EN