Semi-linear wave equations with effective damping
Marcello D'Abbicco, Sandra Lucente, Michael Reissig
TL;DR
This paper investigates the global existence of solutions for semi-linear damped wave equations with effective damping across any space dimension, focusing on small energy data in the supercritical case.
Contribution
It establishes the global existence of solutions for semi-linear damped wave equations with effective damping in all space dimensions, particularly in the supercritical case.
Findings
Global existence of small energy solutions proven
Applicable to any space dimension
Results valid in supercritical damping regime
Abstract
We study the Cauchy problem for the semi-linear damped wave equation in any space dimension. We assume that the time-dependent damping term is effective. We prove the global existence of small energy data solutions in the supercritical case.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.