双重非线性抛物型系统的更高可积性。
Higher integrability for doubly nonlinear parabolic systems.
作者信息
Bögelein Verena, Duzaar Frank, Scheven Christoph
机构信息
Fachbereich Mathematik, Universität Salzburg, Hellbrunner Str. 34, 5020 Salzburg, Austria.
Department of Data Science, Universität Erlangen-Nürnberg, Cauerstrasse 11, 91058 Erlangen, Germany.
出版信息
SN Partial Differ Equ Appl. 2022;3(6):74. doi: 10.1007/s42985-022-00204-0. Epub 2022 Oct 18.
In this paper we establish a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The proof is based on a new intrinsic scaling that involves both the solution and its spatial gradient. It allows to compensate for the different scaling of the system in || and ||. The result covers the range of parameters and .
在本文中，我们为双非线性抛物型系统的弱解的空间梯度建立了一个局部更高可积性结果。证明基于一种新的内在尺度变换，该变换同时涉及解及其空间梯度。它允许补偿系统在||和||中的不同尺度变换。该结果涵盖了参数 和 的范围。
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