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- W4381938455 abstract "We prove novel (local) square function/Carleson measure estimates for non-negative solutions to the evolutionary $ p $-Laplace equation in the complement of parabolic Ahlfors-David regular sets. In the case of the heat equation, the Laplace equation as well as the $ p $-Laplace equation, the corresponding square function estimates have proven fundamental in symmetry and inverse/free boundary type problems, and in particular in the study of (parabolic) uniform rectifiability. Though the implications of the square function estimates are less clear for the evolutionary $ p $-Laplace equation, mainly due its lack of homogeneity, we give some initial applications to parabolic uniform rectifiability, boundary behaviour and Fatou type theorems for $ nabla_Xu $." @default.
- W4381938455 created "2023-06-25" @default.
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- W4381938455 date "2023-01-01" @default.
- W4381938455 modified "2023-10-16" @default.
- W4381938455 title "Square function estimates for the evolutionary p-Laplace equation" @default.
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- W4381938455 doi "https://doi.org/10.3934/dcds.2023044" @default.
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