On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909484772753408 |
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| author | Nishii, Yoshinori |
| author_facet | Nishii, Yoshinori |
| contents | We consider the Cauchy problem for cubic nonlinear Klein-Gordon equations in one space dimension. We give the $L^p$-decay estimate for the small data solution and show that it decays faster than the free solution if the cubic nonlinearity has the suitable dissipative structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure Nishii, Yoshinori Analysis of PDEs 35L70, 35B40, 35L15 We consider the Cauchy problem for cubic nonlinear Klein-Gordon equations in one space dimension. We give the $L^p$-decay estimate for the small data solution and show that it decays faster than the free solution if the cubic nonlinearity has the suitable dissipative structure. |
| title | On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure |
| topic | Analysis of PDEs 35L70, 35B40, 35L15 |
| url | https://arxiv.org/abs/2410.00478 |