@article{Lee2023, 
author = {Mikyoung Lee and Jihoon Ok},
title = {Local Calderón-Zygmund estimates for parabolic equations in weighted Lebesgue spaces},
year = {2023},
journal = {Mathematics in Engineering},
volume = {5},
number = {3},
pages = {1-20},
keywords = {parabolic equation, p-Laplacian, Calderón-Zygmund estimate, weighted Lebesgue space},
url = {https://www.sciopen.com/article/10.3934/mine.2023062},
doi = {10.3934/mine.2023062},
abstract = {We prove local Calderón-Zygmund type estimates for the gradient of weak solutions to degenerate or singular parabolic equations of    p-Laplacian type with    p  >            2      n              n      +      2       in weighted Lebesgue spaces        L    w    q  . We introduce a new condition on the weight    w which depends on the intrinsic geometry concerned with the parabolic    p-Laplace problems. Our condition is weaker than the one in [13], where similar estimates were obtained. In particular, in the case    p  =  2, it is the same as the condition of the usual parabolic        A    q   weight.}
}