慢扩散型双重非线性方程的哈纳克不等式。
Harnack's inequality for doubly nonlinear equations of slow diffusion type.
作者信息
Bögelein Verena, Heran Andreas, Schätzler Leah, Singer Thomas
机构信息
Fachbereich Mathematik, Universität Salzburg, Hellbrunner Str. 34, 5020 Salzburg, Austria.
Department of Data Science, Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstrasse 11, 91058 Erlangen, Germany.
出版信息
Calc Var Partial Differ Equ. 2021;60(6):215. doi: 10.1007/s00526-021-02044-z. Epub 2021 Aug 27.
In this article we prove a Harnack inequality for non-negative weak solutions to doubly nonlinear parabolic equations of the form where the vector field fulfills -ellipticity and growth conditions. We treat the slow diffusion case in its full range, i.e. all exponents and with are included in our considerations.
在本文中，我们证明了形如 的双非线性抛物方程非负弱解的哈拿克不等式，其中向量场满足 - 椭圆性和增长条件。我们全面处理了慢扩散情形，即我们的考虑涵盖了所有指数 和 且 的情况。
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