Weighted L(⋅)-estimates for the nonlinear parabolic equations with non-standard growth
Weighted L(⋅)-estimates for the nonlinear parabolic equations with non-standard growth
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DOI：
10.1016/j.jmaa.2020.124145
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发表时间：
2020-09
影响因子：
1.3
通讯作者：
Y. Jiao;Khedoudj Saibi;Chao Zhang
中科院分区：
文献类型：
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作者：
Y. Jiao;Khedoudj Saibi;Chao Zhang
对一类变指数增长的散度型非线性抛物型方程建立了整体Calderón-Zygmund型估计.在变指数、非线性和区域边界的严格条件下，证明了加权Lq（λ）-估计.我们的结果将变Lebesgue空间中已有的正则性估计推广到加权情形。
We establish a global Calderón–Zygmund type estimate for the nonlinear parabolic equation in divergence form with variable exponent growth. The weighted L q (⋅)-estimates are proved under some precise conditions on the variable exponent, the nonlinearity and the boundary of the domain. Our results extend the existing regularity estimates in variable Lebesgue spaces to the weighted case.