一类宽畸变抛物线系统的梯度正则性

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-07-09 DOI:10.1137/23m1589232

Verena Bögelein, Frank Duzaar, Raffaella Giova, Antonia Passarelli di Napoli

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引用次数: 0

摘要

SIAM 数学分析期刊》，第 56 卷第 4 期，第 5017-5078 页，2024 年 8 月。摘要本文研究广泛退化抛物系统[math]弱解的[math]正则性，其中[math]、[math]为抛物柱面，[math]为有界域[math]，[math]为[math]。对于有[math]的弱解[math]，我们证明对于在集合[math]上消失的任何连续函数[math]，[math]在[math]中是连续的。

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Gradient Regularity for a Class of Widely Degenerate Parabolic Systems

SIAM Journal on Mathematical Analysis, Volume 56, Issue 4, Page 5017-5078, August 2024.
Abstract. In this paper we study the [math] regularity of the weak solutions to the widely degenerate parabolic system [math] where [math], [math] is a parabolic cylinder with a bounded domain [math], and [math]. For the weak solutions [math] with [math], we prove that [math] is continuous in [math] for any continuous function [math] vanishing on the set [math].

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来源期刊

SIAM Journal on Mathematical Analysis 数学-应用数学

CiteScore

3.30

自引率

5.00%

发文量

175

审稿时长

12 months

期刊介绍： SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.