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

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  • Fengping Yao

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.

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  • Fengping Yao, 2023. "Besov estimates for weak solutions of a class of quasilinear parabolic equations with general growth," Mathematische Nachrichten, Wiley Blackwell, vol. 296(7), pages 3034-3055, July.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:7:p:3034-3055
    DOI: 10.1002/mana.202100271
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    1. Raffaella Giova, 2020. "Besov regularity for solutions of elliptic equations with variable exponents," Mathematische Nachrichten, Wiley Blackwell, vol. 293(8), pages 1459-1480, August.
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