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- W4226028255 abstract "We discuss a parabolic version of the space of functions of bounded mean oscillation related to a doubly nonlinear parabolic partial differential equation. Parabolic John-Nirenberg inequalities, which give exponential decay estimates for the oscillation of a function, are shown in the natural geometry of the partial differential equation. Chaining arguments are applied to change the time lag in the parabolic John-Nirenberg inequality. We also show that the quasihyperbolic boundary condition is a necessary and sufficient condition for a global parabolic John-Nirenberg inequality. Moreover, we consider John-Nirenberg inequalities with medians instead of integral averages and show that this approach gives the same class of functions as the original definition." @default.
- W4226028255 created "2022-05-05" @default.
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- W4226028255 date "2022-02-13" @default.
- W4226028255 modified "2023-09-29" @default.
- W4226028255 title "John-Nirenberg inequalities for parabolic BMO" @default.
- W4226028255 doi "https://doi.org/10.48550/arxiv.2202.06321" @default.
- W4226028255 hasPublicationYear "2022" @default.
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