Besov estimates for weak solutions of a class of quasilinear parabolic equations with general growth

Fengping Yao

Mathematische Nachrichten, 2023, vol. 296, issue 7, 3034-3055

Abstract: In this paper, we obtain the local higher fractional differentiability regularity estimates in Besov spaces of weak solutions for the quasilinear parabolic equations with general growth under some proper conditions on a,A$a, A$, and F$\mathbf {F}$. Moreover, we would like to point out that the results in the present work improve the known results for such parabolic equations.

Date: 2023
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https://doi.org/10.1002/mana.202100271

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