First boundary-value problem for second-order elliptic-parabolic equations with discontinuous coefficients

被引：0

作者：

Mamedov I.T. ^{[1
]}

机构：

[1] Institute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences, Baku

来源：

Journal of Mathematical Sciences | 2013年 / 190卷 / 1期

关键词：

Parabolic Equation; Strong Solution; Weight Sobolev Space; Require Estimate; Interpolation Inequality;

D O I：

10.1007/s10958-013-1248-2

中图分类号：

学科分类号：

摘要：

In this paper, the first boundary value problem for the second-order degenerated ellipticparabolic equations in nondivergent form is considered. Unique strong (almost everywhere) solvability of this problem in the corresponding weight Sobolev space is proved. © 2013 Springer Science+Business Media New York.

引用

下载

页码：104 / 134

页数：30

共 50 条

[1] THE FIRST BOUNDARY-VALUE PROBLEM FOR SECOND ORDER DEGENERATE ELLIPTIC-PARABOLIC EQUATIONS
Salmanova, Shahla Yu.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2005, 23 (31): : 101 - 108
[2] On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations
T. S. Gadjiev
E. R. Gasimova
Ukrainian Mathematical Journal, 2008, 60 : 831 - 847
[3] ON THE SMOOTHNESS OF A SOLUTION OF THE FIRST BOUNDARY-VALUE PROBLEM FOR SECOND-ORDER DEGENERATE ELLIPTIC-PARABOLIC EQUATIONS
Gadjiev, T. S.
Gasimova, E. R.
UKRAINIAN MATHEMATICAL JOURNAL, 2008, 60 (06) : 831 - 847
[4] Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients
A. F. Guliyev
S. H. Ismayilova
Ukrainian Mathematical Journal, 2015, 66 : 1615 - 1638
[5] Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients
Guliyev, A. F.
Ismayilova, S. H.
UKRAINIAN MATHEMATICAL JOURNAL, 2015, 66 (11) : 1615 - 1638
[6] BOUNDARY-VALUE PROBLEM FOR AN ELLIPTIC-PARABOLIC EQUATION
EGOROV, IE
SIBERIAN MATHEMATICAL JOURNAL, 1976, 17 (03) : 526 - 530
[7] On Boundary-Value Problems for Second-Order Elliptic and Parabolic Systems
Golubeva E.V.
Dubinskii Y.A.
Journal of Mathematical Sciences, 2018, 233 (4) : 462 - 479
[8] CONDITIONS OF SOLVABILITY AND BOUNDARY PROPERTIES OF FIRST BOUNDARY VALUE PROBLEM FOR SECOND-ORDER ELLIPTICAL EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
PARASYUK, LS
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1970, (10): : 889 - &
[9] Stochastic Algorithms for Solving the Dirichlet Boundary Value Problem for Certain Second-Order Elliptic Equations with Discontinuous Coefficients
Kuznetsov, A. N.
Sipin, A. S.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2022, 62 (02) : 248 - 253
[10] Stochastic Algorithms for Solving the Dirichlet Boundary Value Problem for Certain Second-Order Elliptic Equations with Discontinuous Coefficients
A. N. Kuznetsov
A. S. Sipin
Computational Mathematics and Mathematical Physics, 2022, 62 : 248 - 253

← 1 2 3 4 5 →