The Cauchy problem for $p$-evolution equations with initial data in Gelfand-Shilov spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915877176213504 |
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| author | Cappiello, Marco Machado, Eliakim Cleyton |
| author_facet | 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 Gelfand-Shilov spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20702 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Cauchy problem for $p$-evolution equations with initial data in Gelfand-Shilov spaces 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 Gelfand-Shilov spaces. |
| title | The Cauchy problem for $p$-evolution equations with initial data in Gelfand-Shilov spaces |
| topic | Analysis of PDEs 35G10, 35S05, 35B65, 46F05 |
| url | https://arxiv.org/abs/2510.20702 |