Nonlocal boundary-value problems for PDE: Well-posedness

被引：0

作者：

Ashyralyev, A ^{[1
]}

机构：

[1] Fatih Univ, Dept Math, Istanbul, Turkey

来源：

GLOBAL ANALYSIS AND APPLIED MATHEMATICS | 2004年 / 729卷

关键词：

parabolic equation; elliptic equation; nonlocal boundary-value problem; well-posedness;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The role played by coercive inequalities in the,study of local boundary-value problems for parabolic and elliptic differential equations is well known ( see, e.g.,[ 14],121]). In present paper we consider the nonlocal boundary-value problems for parabolic and elliptic differential equations. The coercive inequalities for the solution of these nonlocal boundary-value problems are presented.

引用

页码：325 / 331

页数：7

共 50 条

[41] Well-Posedness of Boundary-Value Problems for Conditionally Well-Posed Integro-Differential Equations and Polynomial Approximations of Their Solutions
Agachev Y.R.
Pershagin M.Y.
Journal of Mathematical Sciences, 2023, 272 (6) : 816 - 825
[42] On well-posedness of the initial boundary-value problem for the derivative nonlinear Schrödinger equation
Meškauskas T.
Lithuanian Mathematical Journal, 1998, 38 (3) : 250 - 261
[43] On the well-posedness of a two-point boundary-value problem for a system with pseudodifferential operators
Kengne E.
Ukrainian Mathematical Journal, 2005, 57 (8) : 1334 - 1340
[44] On parabolic final value problems and well-posedness
Christensen, Ann-Eva
Johnsen, Jon
COMPTES RENDUS MATHEMATIQUE, 2018, 356 (03) : 307 - 311
[45] Lower Exponential Strong Well-Posedness of Hyperbolic Boundary Value Problems in a Strip
Benoit, Antoine
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2020, 69 (07) : 2267 - 2323
[46] Uniqueness and well-posedness results for first order initial and boundary value problems
Agarwal, RP
Heikkilä, S
ACTA MATHEMATICA HUNGARICA, 2002, 94 (1-2) : 67 - 92
[47] On the well-posedness of boundary value problems for higher order Dirac operators in Rm
Santiesteban, Daniel Alfonso
Blaya, Ricardo Abreu
Reyes, Juan Bory
JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 416 : 1729 - 1746
[48] Well-Posedness of Boundary Value Problems for Partial Diffferential Equations of Even Order
Amanov, Djumaklych
Ashyralyev, Allaberen
FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012), 2012, 1470 : 3 - 7
[49] THE WELL-POSEDNESS OF THE ABSTRACT KINETIC-EQUATION BOUNDARY-VALUE-PROBLEMS
XU, GQ
ACTA MATHEMATICA SCIENTIA, 1993, 13 (03) : 323 - 334
[50] Well-Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators
Ashyralyev, Allaberen
Hanalyev, Asker
SCIENTIFIC WORLD JOURNAL, 2014,

← 1 2 3 4 5 →