New class of time-periodic solutions to the 1D cubic wave equation
- Author(s)
- Filip Ficek, Maciej Maliborski
- Abstract
In recent papers (arXiv:2407.16507, arXiv:2408.05158) we presented results suggesting the existence of a new class of time-periodic solutions to the defocusing cubic wave equation on a one-dimensional interval with Dirichlet boundary conditions. Here we confirm these findings by rigorously constructing solutions from this class. The proof uses rational arithmetic computations to verify essential operator bounds.
- Organisation(s)
- Gravitational Physics, Department of Mathematics
- Publication date
- 06-2025
- Austrian Fields of Science 2012
- 103019 Mathematical physics, 101002 Analysis
- Keywords
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/b3f032b3-b52a-49e7-aff1-d82226146bfb