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.
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页码：399 / 411
页数：13
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