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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.12700 |
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| _version_ | 1866913078837248000 |
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| author | Yang, Xiaolei |
| author_facet | Yang, Xiaolei |
| contents | In this paper, we propose a new method for calculating integrals for a special class of integrands. As an application, we show how this method can be used to derive optimal pointwise temporal estimates for a class of nonlocal evolution equations. Compared with other methods, our approach can obtain both upper bound and lower bound simultaneously. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12700 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Series decomposition of a class of special integrals Yang, Xiaolei Analysis of PDEs In this paper, we propose a new method for calculating integrals for a special class of integrands. As an application, we show how this method can be used to derive optimal pointwise temporal estimates for a class of nonlocal evolution equations. Compared with other methods, our approach can obtain both upper bound and lower bound simultaneously. |
| title | Series decomposition of a class of special integrals |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.12700 |