On the renewal of a solution of the Dirichlet boundary-value problem for a biharmonic equation

被引：0

作者：

Shabozov M.S. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 1998年 / 50卷 / 8期

关键词：

Boundary Function; Fourier Coefficient; Trigonometric Polynomial; Ukrainian Academy; Poisson Kernel;

D O I：

10.1007/BF02513087

中图分类号：

学科分类号：

摘要：

We study the problem of renewal of a solution of the Dirichlet boundary-value problem for a biharmonic equation on the basis of the known information about the boundary function. The obtained estimates of renewal error are unimprovable in certain cases. © 1999 Kluwer Academic/Plenum Publishers.

引用

页码：1312 / 1317

页数：5

共 50 条

[41] Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length
Shaposhnikova, TA
[J]. SBORNIK MATHEMATICS, 2001, 192 (9-10) : 1553 - 1585
[42] SOLUTION OF A BOUNDARY-VALUE PROBLEM CONNECTED WITH THE FOKKER-PLANCK EQUATION
MUKHOPADHYAY, S
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1984, 18 (02) : 231 - 231
[43] A METHOD FOR THE ACCURATE SOLUTION OF A BOUNDARY-VALUE PROBLEM FOR LAPLACES-EQUATION
AKKURATOV, YP
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1992, 32 (07) : 1029 - 1031
[44] On asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation
B. I. Sokil
[J]. Ukrainian Mathematical Journal, 1997, 49 (11) : 1777 - 1781
[45] PROBLEM OF SOLUTION UNIQUENESS OF DIFFERENCE BOUNDARY-VALUE PROBLEMS FOR POISSON EQUATION
GLUSHCHENKO, AA
RIBYANET.NA
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1973, (NOV): : 968 - 970
[46] On a smooth solution of a boundary-value problem
Tsynaiko P.V.
[J]. Ukrainian Mathematical Journal, 1998, 50 (9) : 1478 - 1482
[47] BOUNDARY-VALUE PROBLEM APPROXIMATE SOLUTION
DOROKHOV, VO
SHKLYARO.LI
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1974, (02): : 103 - 106
[48] THE SOLUTION OF THE HYPERBOLIC BOUNDARY-VALUE PROBLEM AS A RESULT OF APPLICATION OF THE LIMITING AMPLITUDE PRINCIPLE TO THE INITIAL BOUNDARY-VALUE PROBLEM FOR THE COMPOSITE TYPE EQUATION
KRUTITSKY, PA
[J]. DOKLADY AKADEMII NAUK, 1992, 325 (05) : 907 - 914
[49] Generalized Third Boundary Value Problem for the Biharmonic Equation
Karachik, V. V.
[J]. DIFFERENTIAL EQUATIONS, 2017, 53 (06) : 756 - 765
[50] On a Mixed Boundary Value Problem for the Biharmonic Equation in a Strip
Ngoc N.V.
[J]. Acta Mathematica Vietnamica, 2017, 42 (2) : 395 - 411

← 1 2 3 4 5 →