Morawetz estimates and stabilization for damped Klein-Gordon equation with small data
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929619997818880 |
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| author | Cui, Yan Xia, Bo |
| author_facet | Cui, Yan Xia, Bo |
| contents | In the present paper, we show that the global solution to (partially) damped Klein-Gordon equation on the three dimensional Euclidean space with small data decays exponentially. The key ingredients in the proof are: Morawetz-type estimates for solutions with small data and Ruiz's unique continuation principle for wave equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05987 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Morawetz estimates and stabilization for damped Klein-Gordon equation with small data Cui, Yan Xia, Bo Analysis of PDEs In the present paper, we show that the global solution to (partially) damped Klein-Gordon equation on the three dimensional Euclidean space with small data decays exponentially. The key ingredients in the proof are: Morawetz-type estimates for solutions with small data and Ruiz's unique continuation principle for wave equations. |
| title | Morawetz estimates and stabilization for damped Klein-Gordon equation with small data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.05987 |