Report
Initial and boundary blow-up problem for $p$-Laplacian parabolic equation with general absorption
| العنوان: | Initial and boundary blow-up problem for $p$-Laplacian parabolic equation with general absorption |
|---|---|
| المؤلفون: | Wang, Mingxin, Pang, Peter Yu Hin, Chen, Yujuan |
| سنة النشر: | 2014 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35K20, 35K60, 35B30, 35J25 |
| الوصف: | In this article, we investigate the initial and boundary blow-up problem for the $p$-Laplacian parabolic equation $u_t-\Delta_p u=-b(x,t)f(u)$ over a smooth bounded domain $\Omega$ of $\mathbb{R}^N$ with $N\ge2$, where $\Delta_pu={\rm div}(|\nabla u|^{p-2}\nabla u)$ with $p>1$, and $f(u)$ is a function of regular variation at infinity. We study the existence and uniqueness of positive solutions, and their asymptotic behaviors near the parabolic boundary. Comment: 27 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1406.0989 |
| رقم الانضمام: | edsarx.1406.0989 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |