Global existence and decreasing property of boundary values of solutions to parabolic equations with nonlocal boundary conditions

被引：13

作者：

Seo, S ^{[1
]}

机构：

[1] Seoul Natl Univ, Seoul 151742, South Korea

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2000年 / 193卷 / 01期

关键词：

D O I：

10.2140/pjm.2000.193.219

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the local solution of parabolic equation with nonlocal boundary condition representing entropy can be extended to whole time domain for weights with large L-1 norms. When the weight is identically zero on some part of the boundary, it is shown that the boundary values can decrease even when the other weights are some large.

引用

页码：219 / 226

页数：8

共 50 条

[21] Existence of Solutions for a System of Fractional Differential Equations with Coupled Nonlocal Boundary Conditions
Bashir Ahmad
Rodica Luca
Fractional Calculus and Applied Analysis, 2018, 21 : 423 - 441
[22] Existence and uniqueness of the solutions of the nonlinear impulse differential equations with nonlocal boundary conditions
Gasimov, Y. S.
Jafari, H.
Mardanov, M. J.
Sardarova, R. A.
Sharifov, Y. A.
QUAESTIONES MATHEMATICAE, 2022, 45 (09) : 1399 - 1412
[23] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Sharifov, Yagub A.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2012, 36 (44): : 125 - 134
[24] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Mardanov, M. J.
Sharifov, Ya. A.
Zeynally, F. M.
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2019, (60): : 61 - 72
[25] GLOBAL EXISTENCE OF SOLUTIONS TO INITIAL BOUNDARY VALUE PROBLEM FOR NONLINEAR PARABOLIC EQUATIONS
郑宋穆
ActaMathematicaScientia, 1987, (04) : 361 - 374
[26] ON BOUNDARY-VALUES OF SOLUTIONS OF PARABOLIC EQUATIONS DEGENERATING ON DOMAINS BOUNDARY
PETRUSHKO, IM
DOKLADY AKADEMII NAUK SSSR, 1991, 316 (03): : 550 - 552
[27] Parabolic Partial Differential Equations with Nonlocal Initial and Boundary Values
Turkyilmazoglu, M.
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2015, 12 (05)
[28] On the Existence of Time-Periodic Solutions of Nonlinear Parabolic Differential Equations with Nonlocal Boundary Conditions of the Bitsadze–Samarskii Type
O. V. Solonukha
Journal of Mathematical Sciences, 2024, 285 (6) : 880 - 892
[29] Global existence and blow-up of solutions for parabolic equations involving the Laplacian under nonlinear boundary conditions
Lamaizi, Anass
Zerouali, Abdellah
Chakrone, Omar
Karim, Belhadj
TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (06) : 2406 - 2418
[30] On existence of solutions for fractional differential equations with nonlocal multi-point boundary conditions
Houas M.
Dahmani Z.
Lobachevskii Journal of Mathematics, 2016, 37 (2) : 120 - 127

← 1 2 3 4 5 →