Gevrey well posedness for $3$-evolution equations with variable coefficients
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866911796403634176 |
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| author | Junior, Alexandre Arias Ascanelli, Alessia Cappiello, Marco |
| author_facet | Junior, Alexandre Arias Ascanelli, Alessia Cappiello, Marco |
| contents | We study the Cauchy problem for a class of third order linear anisotropic evolution equations with complex valued lower order terms depending both on time and space variables. Under suitable decay assumptions for $|x| \to \infty$ on these coefficients, we prove a well posedness result in Gevrey-type spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_09511 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Gevrey well posedness for $3$-evolution equations with variable coefficients Junior, Alexandre Arias Ascanelli, Alessia Cappiello, Marco Analysis of PDEs 35G10, 35S05, 35B65, 46F05 We study the Cauchy problem for a class of third order linear anisotropic evolution equations with complex valued lower order terms depending both on time and space variables. Under suitable decay assumptions for $|x| \to \infty$ on these coefficients, we prove a well posedness result in Gevrey-type spaces. |
| title | Gevrey well posedness for $3$-evolution equations with variable coefficients |
| topic | Analysis of PDEs 35G10, 35S05, 35B65, 46F05 |
| url | https://arxiv.org/abs/2106.09511 |