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Calendar of Physics Talks Vienna
| Understanding String Theory with Integrability |
| Speaker: | Alessandro Sfondrini (Padua U.) |
| Abstract: | Informal talk |
| Date: | Mon, 01.07.2024 |
| Time: | 16:00 |
| Duration: | 60 min |
| Location: | SEM 136, Freihaus, TU Wien, Wiedner Hauptstr. 8-10, 1040 Vienna |
| Contact: | Daniel Grumiller |
| Massive Cantor families of periodic solutions of resonant Klein-Gordon equation on S3 |
| Speaker: | Diego Silimbani (SISSA) |
| Abstract: | The study of existence and multiplicity of time-periodic solutions for semilinear Klein-Gordon equation has recently been proposed as a toy model to understand stability properties of Anti-de Sitter spacetime under certain perturbation, a question which is of great interest in general relativity. I will present a result on existence and multiplicity of Cantor families of small amplitude, analytic in time and periodic solutions for the completely resonant cubic nonlinear Klein-Gordon equation on S3 for an asymptotically full measure set of frequencies. The solutions are constructed by a Lyapunov- Schmidt decomposition and a Nash-Moser iterative scheme. We first find non-degenerate solutions of the resonant system, then, in view of small divisors problem, we solve the Range equation by a Nash-Moser iteration. |
| Date: | Wed, 03.07.2024 |
| Time: | 14:00 |
| Duration: | 90 min |
| Location: | Seminarraum A, Waehringer Strasse 17, 2nd Floor |
| Contact: | Piotr T. Chrusciel |
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