General non local boundary value problem for second order elliptic equation

Aibeche Aissa; Amroune Nasreddine; Maingot Stephane

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General non local boundary value problem for second order elliptic equation

机译：二阶椭圆等式的一般非局部边值问题

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摘要

In this paper we study a class of second order coefficient operators differential equation with general (possibly non local) boundary conditions. We obtain new results extending those given in a previous paper [1]. Existence, uniqueness and optimal regularity of the strict solution are proved in UMD spaces, using the well-known Dore-Venni theorem.

机译：在本文中，我们研究了一类二阶系数算子微分方程，具有一般（可能是非本地）边界条件。我们获得新的结果，延长了先前文件中给出的那些[1]。在UMD空间中证明了严格解决方案的存在，唯一性和最佳规律性，使用了众所周知的DORE-VENNI定理。

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来源
《Mathematische Nachrichten》 |2018年第10期|共16页
作者
Aibeche Aissa; Amroune Nasreddine; Maingot Stephane;
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作者单位

Univ Setif 1 LaMA Setif Algeria;

Univ Msila Msila Algeria;

Univ Le Havre LMAH Le Havre France;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Dore-Venni theorem; non focal boundary conditions; operator-differential equation; UMD spaces;

机译：DORE-VENNI定理;非焦点边界条件;操作员微分方程;UMD空间;

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专利

1. Legendre wavelet-based iterative schemes for fourth-order elliptic equations with nonlocal boundary conditions [J] . K. Harish Kumar, V. Antony Vijesh Engineering with Computers . 2020,第4期

机译：具有非识别边界条件的四阶椭圆方程的Legendre小波的迭代方案
2. The modified localized method of approximated particular solutions for solving elliptic equations with mixed boundary conditions on scattered data [J] . Li Wen, Yao Guangming, Niu Jing Engineering analysis with boundary elements . 2019,第MARa期

机译：散乱数据混合边界条件椭圆方程的近似特殊解的改进局部化方法
3. The modified localized method of approximated particular solutions for solving elliptic equations with mixed boundary conditions on scattered data [J] . Li Wen, Yao Guangming, Niu Jing Engineering analysis with boundary elements . 2019,第Mara期

机译：求解椭圆方程的近似特定解决方案的修改局部方法，其分散数据混合边界条件
4. A Note on Nonlocal Boundary Value Problem for Elliptic-Schr?dinger Equations with Multipoint Nonlocal Boundary Condition [C] . Yildirim Ozdemir, Esra Pekonur International Conference "Functional Analysis in Interdisciplinary Applications" . 2017

机译：关于椭圆形-SCHR的非识别下边值问题的说明，具有多点非局部边界条件的Dinger方程
5. Analysis of Nonlocal Equations: One-sided Weighted Fractional Sobolev Spaces and Harnack Inequality for Fractional Nondivergence Form Elliptic Equations [D] . ?Vaughan, Mary Colleen 2020

机译：非局部方程分析：片面加权分数索伯列夫空间和哈纳克不等式分数非散度型方程
6. Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations [O] . Felix E. Browder 1953

机译：任意阶线性抛物线方程椭圆方程的一般边值问题
7. Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations [O] . Bonforte, Matteo, Figalli, Alessio, Vazquez, Juan Luis 2017

机译：半线性非局部椭圆曲线解的尖锐边界行为方程
8. The Boundary Integral Equation Method for the Numerical Solution of Boundary Value Problems Governed by Second Order Elliptic Equations. [R] . Schulock, M. L. 1978

机译：二阶椭圆型方程边值问题数值解的边界积分方程方法。

General non local boundary value problem for second order elliptic equation

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