On Abstract Third-Order Differential Equation and Its Applications

被引：2

作者：

Chaouchi, Belkacem ^{[1
]}

Benaissa, Lakhdar ^{[2
]}

Kostic, Marko ^{[3
]}

机构：

[1] Univ Khemis Miliana, Fac Sci & Technol, Dept Math, Khemis Miliana, Algeria

[2] Univ Algiers, Fac Sci, Dept Math, Algiers, Algeria

[3] Univ Novi Sad, Fac Tech Sci, Trg D Obradovica 6, Novi Sad 21125, Serbia

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2023年 / 39卷 / 03期

关键词：

Abstract third-order differential equation; cusp domain; strict solution; DIRICHLET PROBLEM;

D O I：

10.1007/s10114-023-1530-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider an abstract third-order differential equation and deduce some results on the maximal regularity of its strict solution. We assume that the inhomogeneity appearing in the right-hand term of this equation belongs to some anistropic Holder spaces. We illustrate our results by a BVP involving a 3D Laplacian posed in a cusp domain of Double-struck capital R-4.

引用

页码：399 / 411

页数：13

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