A nonlocal nonlinear boundary value problem for the heat equations

被引：0

作者：

Yan, JH ^{[1
]}

机构：

[1] FUDAN UNIV,DEPT MATH,SHANGHAI 200433,PEOPLES R CHINA

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 1996年 / 17卷 / 03期

关键词：

heat equation; nonlinear boundary problem; potential; limit behavior;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence and limit behaviour of the solution for a kind of nonlocal nonlinear boundary value condition on a part of the boundary is studied for the heat equation, which physically means that the potential is the function of the total flux. When this part of boundary shrinks to a point in a certain way, this condition either results in a Dirac measure or simply disappears in the corresponding problem.

引用

页码：365 / 374

页数：10

共 50 条

[41] On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary value problem
Cannon, John R.
Galiffa, Daniel J.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (05) : 1702 - 1713
[42] On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions
A. L. Gladkov
A. I. Nikitin
Differential Equations, 2018, 54 : 86 - 105
[43] On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions
Gladkova, A. L.
Nikitin, A. I.
DIFFERENTIAL EQUATIONS, 2018, 54 (01) : 86 - 105
[44] MULTIPLICITY OF SOLUTIONS TO NONLINEAR BOUNDARY-VALUE PROBLEM WITH NONLOCAL BOUNDARY-CONDITIONS
ZHENG, SM
CHINESE ANNALS OF MATHEMATICS SERIES B, 1985, 6 (01) : 5 - 14
[45] On a nonlocal boundary value problem for the multidimensional heat equation in a noncylindrical domain
Kal'menov, T. Sh
Tokmagambetov, N. E.
SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (06) : 1023 - 1028
[46] On a difference scheme for nonlocal heat transfer boundary-value problem
Akhymbek, Meiram E.
Sadybekov, Makhmud A.
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
[47] On a nonlocal boundary value problem for the multidimensional heat equation in a noncylindrical domain
T. Sh. Kal’menov
N. E. Tokmagambetov
Siberian Mathematical Journal, 2013, 54 : 1023 - 1028
[48] Solvability of a Nonlocal Boundary Value Problem
E. I. Moiseev
Differential Equations, 2001, 37 : 1643 - 1646
[49] THE SOLVABILITY OF A NONLOCAL BOUNDARY VALUE PROBLEM
Szymanska-Debowska, Katarzyna
MATHEMATICA SLOVACA, 2015, 65 (05) : 1027 - 1034
[50] Nonlocal Boundary Value Problems of Nonlinear Fractional (p,q)-Difference Equations
Neang, Pheak
Nonlaopon, Kamsing
Tariboon, Jessada
Ntouyas, Sotiris K.
Ahmad, Bashir
FRACTAL AND FRACTIONAL, 2021, 5 (04)

← 1 2 3 4 5 →