Global and nonglobal solutions for a mixed local-nonlocal heat equation
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916760265949184 |
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| author | Carhuas, Brandon Castillo, Ricardo Freire, Ricardo Lira, Alex Loayza, Miguel |
| author_facet | Carhuas, Brandon Castillo, Ricardo Freire, Ricardo Lira, Alex Loayza, Miguel |
| contents | In this work, we establish optimal conditions concerning the global and nonglobal existence of solutions of a semilinear parabolic equations governed by a mixed local-nonlocal operator. Furthermore, our findings recover the Fujita exponent recently derived by Biagi, Punzo and Vecchi, as well as by Del Pezzo and Ferreira. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_20401 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global and nonglobal solutions for a mixed local-nonlocal heat equation Carhuas, Brandon Castillo, Ricardo Freire, Ricardo Lira, Alex Loayza, Miguel Analysis of PDEs 35A01, 35B44, 35K57, 35K58, 35R11 In this work, we establish optimal conditions concerning the global and nonglobal existence of solutions of a semilinear parabolic equations governed by a mixed local-nonlocal operator. Furthermore, our findings recover the Fujita exponent recently derived by Biagi, Punzo and Vecchi, as well as by Del Pezzo and Ferreira. |
| title | Global and nonglobal solutions for a mixed local-nonlocal heat equation |
| topic | Analysis of PDEs 35A01, 35B44, 35K57, 35K58, 35R11 |
| url | https://arxiv.org/abs/2505.20401 |