On profile decomposition for Airy type equation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914183235239936 |
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| author | Di, Boning Fan, Chenjie Yan, Dunyan |
| author_facet | Di, Boning Fan, Chenjie Yan, Dunyan |
| contents | We study the linear profile decomposition for the Airy type equation, where the associated Strichartz inequality corresponds to the Fourier extension inequality on the odd curve $ξ^{\ell}$. We also investigate an inhomogeneous case, modeled by the odd curve $ξ^3+ξ^5$ case. We note that, as observed by Frank and Sabin [Math. Ann., 2018], there is a two-profile phenomenon in the profile decomposition associated with odd curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13311 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On profile decomposition for Airy type equation Di, Boning Fan, Chenjie Yan, Dunyan Classical Analysis and ODEs Analysis of PDEs Functional Analysis Primary 42A38, Secondary 35B38, 35Q53 We study the linear profile decomposition for the Airy type equation, where the associated Strichartz inequality corresponds to the Fourier extension inequality on the odd curve $ξ^{\ell}$. We also investigate an inhomogeneous case, modeled by the odd curve $ξ^3+ξ^5$ case. We note that, as observed by Frank and Sabin [Math. Ann., 2018], there is a two-profile phenomenon in the profile decomposition associated with odd curves. |
| title | On profile decomposition for Airy type equation |
| topic | Classical Analysis and ODEs Analysis of PDEs Functional Analysis Primary 42A38, Secondary 35B38, 35Q53 |
| url | https://arxiv.org/abs/2306.13311 |