Hölder变非线性奇异抛物方程的连续性

Pub Date : 2020-12-01 DOI:10.2478/auom-2020-0034

Hamid EL Bahja

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引用次数: 1

摘要

摘要本文得到了变指数奇异抛物型方程弱解的局部Hölder正则性。这个证明是基于DiBenedetto的一种叫做内标度的技术;通过选择适当的几何形状，可以推导出能量和对数估计，从而可以实现迭代方法来获得正则性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hölder continuity of singular parabolic equations with variable nonlinearity

Abstract In this paper we obtain the local Hölder regularity of the weak solutions for singular parabolic equations with variable exponents. The proof is based on DiBenedetto’s technique called intrinsic scaling; by choosing an appropriate geometry one can deduce energy and logarithmic estimates from which one can implement an iterative method to obtain the regularity result.

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