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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.06309 |
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| _version_ | 1866917585950343168 |
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| author | Baaske, Franka Schmeißer, Hans-Jürgen Triebel, Hans |
| author_facet | Baaske, Franka Schmeißer, Hans-Jürgen Triebel, Hans |
| contents | We present a new proof of the caloric smoothing related to the fractional Gauss-Weierstrass semi-group in Triebel-Lizorkin spaces. This property will be used to prove existence and uniqueness of mild and strong solutions of the Cauchy problem for a fractional nonlinear heat equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06309 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fractional nonlinear heat equations and characterizations of some function spaces in terms of fractional Gauss-Weierstrass semi-groups Baaske, Franka Schmeißer, Hans-Jürgen Triebel, Hans Analysis of PDEs We present a new proof of the caloric smoothing related to the fractional Gauss-Weierstrass semi-group in Triebel-Lizorkin spaces. This property will be used to prove existence and uniqueness of mild and strong solutions of the Cauchy problem for a fractional nonlinear heat equation. |
| title | Fractional nonlinear heat equations and characterizations of some function spaces in terms of fractional Gauss-Weierstrass semi-groups |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.06309 |