On the global wellposedness of the Klein-Gordon equation for initial data in modulation spaces
Chaichenets, Leonid
; Pattakos, Nikolaos
; Pattakos, NikolaosAbstract:
We prove global wellposedness of the Klein-Gordon equation with power nonlinearity
described by Bourgain in [1] where the Klein-Gordon equation is studied in one dimension with cubic nonlinearity for initial data in Sobolev spaces.
described by Bourgain in [1] where the Klein-Gordon equation is studied in one dimension with cubic nonlinearity for initial data in Sobolev spaces.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsjahr | 2019 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000099117 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 12 S. |
| Serie | CRC 1173 ; 2019/18 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Schlagwörter | Klein-Gordon equation, modulation spaces, global wellposedness, high-low frequency decomposition method |
| Nachgewiesen in | arXiv |
| Relationen in KITopen |
