ON RELATIONSHIP BETWEEN THE RESOLVENT CONVERGENCE AND THE SMOOTHNESS OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS

被引：0

作者：

Tsylin, I. V. ^{[1
]}

机构：

[1] RUDN Univ, Fac Phys Math & Nat Sci, Dept Math Anal & Funct Theory, 6 Miklukho Maklay St, Moscow 117198, Russia

来源：

EURASIAN MATHEMATICAL JOURNAL | 2016年 / 7卷 / 03期

关键词：

elliptic operators; resolvent convergence; regularity up to the boundary;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Relationship between the resolvent convergence property and the smoothness of solutions to boundary value problems are studied. The results use pointwise multipliers and B-spaces.

引用

页码：100 / 103

页数：4

共 50 条

[31] On the smoothness of generalized solutions to boundary value problems for strongly elliptic differential-difference equations on a boundary of neighboring subdomains
D. Neverova
A. Skubachevskii
Russian Journal of Mathematical Physics, 2015, 22 : 504 - 517
[32] THE SMOOTHNESS OF SOLUTIONS TO THE INITIAL BOUNDARY-VALUE-PROBLEMS FOR ONE CLASS OF SEMILINEAR HYPERBOLIC-EQUATIONS
MAKSUDOV, FG
LEONOV, KJ
DOKLADY AKADEMII NAUK SSSR, 1983, 273 (06): : 1308 - 1309
[33] Local increasing of smoothness of generalized solutions of elliptic boundary value problems in non-smooth domains
Roitberg, BY
Roitberg, YA
DOKLADY AKADEMII NAUK, 1995, 345 (02) : 175 - 178
[34] RUGGED ITERATIVE PROCESS AND SMOOTHNESS OF SOLUTIONS OF SOME QUASI-LINEAR BOUNDARY VALUE PROBLEMS.
Chelkak, S.I.
Chistyakov, V.M.
Koshelev, A.I.
Soviet Journal of Numerical Analysis and Mathematical Modelling, 1986, 1 (01): : 47 - 58
[35] SMOOTHNESS OF SOLUTIONS OF SOME NONLINEAR BOUNDARY-VALUE-PROBLEMS FOR EQUATIONS WITH NON-DIFFERENTIABLE COEFFICIENTS
KOSHELEV, AI
DOKLADY AKADEMII NAUK SSSR, 1988, 298 (01): : 26 - 28
[36] Model Example for Study Smoothness of Solutions of Boundary-Value Problems for Differential-Difference Equations
Neverova, D. A.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (05) : 967 - 973
[37] Model Example for Study Smoothness of Solutions of Boundary-Value Problems for Differential-Difference Equations
D. A. Neverova
Lobachevskii Journal of Mathematics, 2021, 42 : 967 - 973
[38] Convergence of solutions and eigenelements of Steklov type boundary value problems with boundary conditions of rapidly varying type
Chechkina A.G.
Journal of Mathematical Sciences, 2009, 162 (3) : 443 - 458
[39] ESTIMATES AND RESOLVENT INEQUALITIES FOR HYPERBOLIC INITIAL-BOUNDARY VALUE PROBLEMS
RAUCH, JB
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (02): : 410 - &
[40] RATES OF CONVERGENCE OF APPROXIMATE SOLUTIONS OF PARABOLIC INITIAL-BOUNDARY VALUE-PROBLEMS
CALDWELL, CS
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (06) : 1121 - 1135

← 1 2 3 4 5 →