The Cauchy problem for $p$-evolution equations with variable coefficients in Gevrey classes
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915226945847296 |
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| author | Junior, Alexandre Arias Ascanelli, Alessia Cappiello, Marco Machado, Eliakim Cleyton |
| author_facet | Junior, Alexandre Arias Ascanelli, Alessia Cappiello, Marco Machado, Eliakim Cleyton |
| contents | We study the Cauchy problem for a class of linear evolution equations of arbitrary order with coefficients depending both on time and space variables. Under suitable decay assumptions on the coefficients of the lower order terms for $|x|$ large, we prove a well-posedness result in Gevrey-type spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18630 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Cauchy problem for $p$-evolution equations with variable coefficients in Gevrey classes Junior, Alexandre Arias Ascanelli, Alessia Cappiello, Marco Machado, Eliakim Cleyton Analysis of PDEs 35G10, 35S05, 35B65, 46F05 We study the Cauchy problem for a class of linear evolution equations of arbitrary order with coefficients depending both on time and space variables. Under suitable decay assumptions on the coefficients of the lower order terms for $|x|$ large, we prove a well-posedness result in Gevrey-type spaces. |
| title | The Cauchy problem for $p$-evolution equations with variable coefficients in Gevrey classes |
| topic | Analysis of PDEs 35G10, 35S05, 35B65, 46F05 |
| url | https://arxiv.org/abs/2407.18630 |