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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.11546 |
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| _version_ | 1866913236916371456 |
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| author | Han, Lijia Qiu, Yue Wang, Xiaohong |
| author_facet | Han, Lijia Qiu, Yue Wang, Xiaohong |
| contents | In this paper, we study the standing wave solutions of Klein--Gordon equation with logarithmic nonlinearity.
The existence of the standing wave solution related to the ground state $ϕ_0(x)$ is obtained. Further, we prove the instability of solutions around $ϕ_0(x)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Standing wave solutions and instability for the Logarithmic Klein-Gordon equation Han, Lijia Qiu, Yue Wang, Xiaohong Analysis of PDEs In this paper, we study the standing wave solutions of Klein--Gordon equation with logarithmic nonlinearity. The existence of the standing wave solution related to the ground state $ϕ_0(x)$ is obtained. Further, we prove the instability of solutions around $ϕ_0(x)$. |
| title | Standing wave solutions and instability for the Logarithmic Klein-Gordon equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.11546 |