Weighted $L^p$-type regularity estimates for nonlinear parabolic equations with Orlicz growth

In this paper we obtain the following weighted $L^p$-type regularity estimates $$ B\left(\left|\mathbf{f}\right|\right)\in L^{q}\left(\nu, \nu+T; L^q_w(\Omega) \right) \ \mbox{locally} \Rightarrow B\left(\left|\nabla u\right|\right)\in L^{q}\left(\nu, \nu+T; L^q_w(\Omega) \right)\ \mbox{local...

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Bibliographic Details
Main Author: Fengping Yao
Format: Article
Language:English
Published: University of Szeged 2022-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9581