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非对角抛物方程组弱解梯度的高阶Morrey正则性

Higher gradient estimates in Morrey spaces for weak solutions to nondiagonal quasilinear parabolic systems

中文摘要英文摘要

本文主要研究一类与H?rmander向量场相关的拟线性非对角型散度抛物方程组弱解的正则性. 本文主要通过齐次非对角型抛物方程组弱解的正则性研究非齐次非对角型抛物方程组弱解梯度的高阶Morrey正则性.

In this paper, we consider weak solutions to nondiagonal quasilinear divergence parabolic systems related to H?rmander's vector fields, and establish higher Morrey estimates for gradients of weak solutions by using regularity of weak solutions to homogeneous nondiagonal parabolic system.

钮鹏程、董艳

数学

拟线性非对角型散度抛物方程组H?rmander向量场函数自然增长条件Morrey正则性.

nondiagonal quasilinear divergence parabolic systemH?rmander's vector fieldsfunctionsnatural conditionMorrey estimates.

钮鹏程,董艳.非对角抛物方程组弱解梯度的高阶Morrey正则性[EB/OL].(2014-06-04)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201406-78.点此复制

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