W2,δ estimates for fully nonlinear parabolic inequalities on C1,α domains

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics Letters Pub Date : 2025-01-13 DOI:10.1016/j.aml.2025.109459

Xuemei Li

引用次数: 0

Abstract

In this paper, we study boundary

W^{2, δ}

estimates for solution sets of fully nonlinear parabolic inequalities

u_{t} - M^{+} (D^{2} u, λ, Λ) \leq f (x, t) \leq u_{t} - M^{-} (D^{2} u, λ, Λ)

C^{1, α}

domains, which generalize results for elliptic equations in Li and Li (2023).

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[公式省略]域上完全非线性抛物不等式的估计

本文研究了全非线性抛物不等式 ut-M+(D2u,λ,Λ)≤f(x,t)≤ut-M-(D2u,λ,Λ) 在 C1,α 域上的解集的边界 W2,δ 估计，它概括了 Li 和 Li (2023) 中关于椭圆方程的结果。

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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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.

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