On Fundamental Solutions and Gaussian Bounds for Degenerate Parabolic Equations with Time-dependent Coefficients

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-06 DOI:10.1007/s11118-024-10143-7

Alireza Ataei, Kaj Nyström

引用次数: 0

Abstract

We consider second order degenerate parabolic equations with real, measurable, and time-dependent coefficients. We allow for degenerate ellipticity dictated by a spatial \(A_2\)-weight. We prove the existence of a fundamental solution and derive Gaussian bounds. Our construction is based on the original work of Kato (Nagoya Math. J. 19, 93–125 1961).

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论具有时变系数的畸变抛物方程的基本解和高斯边界

我们考虑的是二阶退化抛物方程，其系数为实数、可测量且随时间变化。我们允许由空间 \(A_2\)-weight 决定的退化椭圆性。我们证明了基本解的存在，并推导出高斯边界。我们的构造基于加藤（Kato）的原作（名古屋数学杂志 19, 93-125 1961）。

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

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