Uhlenbeck结构抛物型系统的正则性理论

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2023-12-05 DOI:10.1016/j.matpur.2023.12.003

Jihoon Ok , Giovanni Scilla , Bianca Stroffolini

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引用次数: 1

摘要

建立了具有φ-增长的Uhlenbeck型抛物型系统的局部正则性理论。特别地，我们证明了弱解及其梯度的局部有界性，然后证明了梯度的局部Hölder连续性，给出了关于生长函数φ的适当假设。我们的方法独立于系统的简并性，允许对简并性和奇异性进行统一处理。

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Regularity theory for parabolic systems with Uhlenbeck structure

We establish local regularity theory for parabolic systems of Uhlenbeck type with φ-growth. In particular, we prove local boundedness of weak solutions and their gradient, and then local Hölder continuity of the gradients, providing suitable assumptions on the growth function φ. Our approach, being independent of the degeneracy of the system, allows for a unified treatment of both the degenerate and the singular case.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464