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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.17579 |
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| _version_ | 1866918292890845184 |
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| author | Loayza, Miguel Majdoub, Mohamed |
| author_facet | Loayza, Miguel Majdoub, Mohamed |
| contents | We establish both the existence and uniqueness of non-negative global solutions for the nonlinear heat equation $u_t-Δu=|x|^{-γ}\,u^q$, $0<q<1$, $γ>0$ in the whole space $\mathbb{R}^N$, and for non-negative initial data $u_0\in C_0(\mathbb{R}^N)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17579 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An inhomogeneous nonlinear parabolic equation with concave nonlinearity Loayza, Miguel Majdoub, Mohamed Analysis of PDEs We establish both the existence and uniqueness of non-negative global solutions for the nonlinear heat equation $u_t-Δu=|x|^{-γ}\,u^q$, $0<q<1$, $γ>0$ in the whole space $\mathbb{R}^N$, and for non-negative initial data $u_0\in C_0(\mathbb{R}^N)$. |
| title | An inhomogeneous nonlinear parabolic equation with concave nonlinearity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.17579 |