Decay rates to equilibrium in a nonlinear subdiffusion equation with two counteracting terms
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910005300559872 |
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| author | Kaltenbacher, Barbara |
| author_facet | Kaltenbacher, Barbara |
| contents | In this paper we prove convergence to a steady state as $t\to\infty$ for solutions to the subdiffusion equation \[ \partial_t^αu - \mathbb{L} u = q(x)u - p(x)f(u) + r \] with the exponential ($α=1$) or power law ($α\in[0,1)$) rates under mild conditions on the coefficients $p$, $q$, the nonlinearity $f$, the source $r$, and the elliptic operator $\mathbb{L}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21038 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Decay rates to equilibrium in a nonlinear subdiffusion equation with two counteracting terms Kaltenbacher, Barbara Analysis of PDEs In this paper we prove convergence to a steady state as $t\to\infty$ for solutions to the subdiffusion equation \[ \partial_t^αu - \mathbb{L} u = q(x)u - p(x)f(u) + r \] with the exponential ($α=1$) or power law ($α\in[0,1)$) rates under mild conditions on the coefficients $p$, $q$, the nonlinearity $f$, the source $r$, and the elliptic operator $\mathbb{L}$. |
| title | Decay rates to equilibrium in a nonlinear subdiffusion equation with two counteracting terms |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.21038 |