Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions
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arXiv
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| Format: | Preprint |
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2019
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| _version_ | 1866915441688969216 |
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| author | Ifrim, Mihaela Stingo, Annalaura |
| author_facet | Ifrim, Mihaela Stingo, Annalaura |
| contents | We prove almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems with small and localized data in two space dimensions. We assume only mild decay on the data at infinity as well as minimal regularity. We systematically investigate all the possible quadratic null form type quasilinear strong coupling nonlinearities, and provide a new, robust approach for the proof. In a second paper we will complete the present results to full global well-posedness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_12673 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions Ifrim, Mihaela Stingo, Annalaura Analysis of PDEs 35L72 We prove almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems with small and localized data in two space dimensions. We assume only mild decay on the data at infinity as well as minimal regularity. We systematically investigate all the possible quadratic null form type quasilinear strong coupling nonlinearities, and provide a new, robust approach for the proof. In a second paper we will complete the present results to full global well-posedness. |
| title | Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions |
| topic | Analysis of PDEs 35L72 |
| url | https://arxiv.org/abs/1910.12673 |