HÖLDER REGULARITY OF SOLUTIONS FOR CERTAIN DEGENERATE PARABOLIC INTEGRO-DIFFERENTIAL EQUATION

被引：0

作者：

Yang, Zongqing ^{[1
]}

Xie, Junhui ^{[1
]}

机构：

[1] Hubei Minzu Univ, Sch Math & Stat, Enshi 445000, Hubei, Peoples R China

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2024年 / 31卷 / 03期

基金：

中国国家自然科学基金;

关键词：

integro-differential equation; H & ouml; lder continuity; Moser iteration; GRADIENT;

D O I：

10.17654/0974324324021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the nonlinear parabolic equation with an integro-differential term. By using classical inequalities and the Moser iteration technique, we establish the estimates for u and .u del Then we prove an inequality of Poincar & eacute; type. As a byproduct of our proof, we derive a Campanato type growth estimate for u which follows from L estimates of del u. Besides, the H & ouml;lder continuity of solution is presented by the isomorphism theorem.

引用

页码：379 / 395

页数：17

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