Intrinsic Harnack’s Inequality for a General Nonlinear Parabolic Equation in Non-divergence Form

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-25 DOI:10.1007/s11118-024-10141-9

Tapio Kurkinen, Jarkko Siltakoski

引用次数: 0

Abstract

We prove the intrinsic Harnack’s inequality for a general form of a parabolic equation that generalizes both the standard parabolic p-Laplace equation and the normalized version arising from stochastic game theory. We prove each result for the optimal range of exponents and ensure that we get stable constants.

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非发散形式一般非线性抛物方程的本征哈纳克不等式

我们证明了抛物线方程一般形式的本征哈纳克不等式，该方程概括了标准抛物线 p-Laplace 方程和随机博弈论中出现的归一化版本。我们为指数的最佳范围证明了每个结果，并确保得到稳定的常数。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.