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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.04820 |
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| _version_ | 1866917463959011328 |
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| author | Li, Shijun Huang, Boai Xu, Shaopeng |
| author_facet | Li, Shijun Huang, Boai Xu, Shaopeng |
| contents | In this paper, we consider the following problem:
\[
\begin{cases}
-\nabla\cdot A(x,u,\nabla u) + H(x,u,\nabla u) = f(x), & x \in Ω,
u = 0, & x \in \partial Ω,
\end{cases}
\]
in a bounded open set \( Ω\subset \mathbb{R}^N \). We have established certain gradient estimates and proved the existence of a renormalized solution for the equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04820 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Renormalized Solution for the Nonlinear Parabolic Problem with Lower Order Terms Li, Shijun Huang, Boai Xu, Shaopeng Analysis of PDEs In this paper, we consider the following problem: \[ \begin{cases} -\nabla\cdot A(x,u,\nabla u) + H(x,u,\nabla u) = f(x), & x \in Ω, u = 0, & x \in \partial Ω, \end{cases} \] in a bounded open set \( Ω\subset \mathbb{R}^N \). We have established certain gradient estimates and proved the existence of a renormalized solution for the equation. |
| title | Renormalized Solution for the Nonlinear Parabolic Problem with Lower Order Terms |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.04820 |