Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917584596631552 |
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| author | Ruzhansky, Michael Sabitbek, Bolys |
| author_facet | Ruzhansky, Michael Sabitbek, Bolys |
| contents | Inthisnote,weprovetheblow-upofsolutionsofthesemilineardamped Klein-Gordon equation in a finite time for arbitrary positive initial energy on the Heisenberg group. This work complements the paper [21] by the first author and Tokmagambetov, where the global in time well-posedness was proved for the small energy solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_02705 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group Ruzhansky, Michael Sabitbek, Bolys Analysis of PDEs 35L71, 35R03, 35B44 Inthisnote,weprovetheblow-upofsolutionsofthesemilineardamped Klein-Gordon equation in a finite time for arbitrary positive initial energy on the Heisenberg group. This work complements the paper [21] by the first author and Tokmagambetov, where the global in time well-posedness was proved for the small energy solutions. |
| title | Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group |
| topic | Analysis of PDEs 35L71, 35R03, 35B44 |
| url | https://arxiv.org/abs/2205.02705 |