Dirichlet problem associated with a random quasilinear operator in a random domain

被引：0

作者：

Abddaimi, Y

Michaille, G

机构：

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1996年 / 30卷 / 01期

关键词：

homogenization; Dirichlet problem; ergodic theory;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the rate of convergence of solutions relative to Dirichlet problems associated with a random quasilinear operator in randomly perforated domains of R(d) With holes whose size tends to 0. Our direct method allows to extend the results already obtained by an epi-convergence method irt the case of symetric operator with deterministic and constant coefficients in a random domain.

引用

页码：103 / 121

页数：19

共 50 条

[21] On the Estimate of Integral Norm of Solution of the Dirichlet Problem for Quasilinear Elliptic Equation
Pikulin, S. V.
MATHEMATICAL NOTES, 2023, 114 (3-4) : 639 - 642
[22] On the Estimate of Integral Norm of Solution of the Dirichlet Problem for Quasilinear Elliptic Equation
S. V. Pikulin
Mathematical Notes, 2023, 114 : 639 - 642
[23] Periodic problem involving quasilinear differential operator and weak singularity
Cabada, Alberto
Lomtatidze, Alexander
Tvrdy, Milan
ADVANCED NONLINEAR STUDIES, 2007, 7 (04) : 629 - 649
[24] On a semilinear fractional Dirichlet problem on a bounded domain
Maagli, Habib
Zribi, Malek
APPLIED MATHEMATICS AND COMPUTATION, 2013, 222 : 331 - 342
[25] Homogenization of nonlinear Dirichlet problems in random perforated domains
Calvo-Jurado, Carmen
Casado-Diaz, Juan
Luna-Laynez, Manuel
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 133 : 250 - 274
[26] Comparison of Approximate and Numerical Methods for Solving the Homogeneous Dirichlet Problem for the Helmholtz Operator in a Two-Dimensional Domain
E. G. Apushkinskiy
V. A. Kozhevnikov
A. V. Biryukov
Lobachevskii Journal of Mathematics, 2023, 44 : 3989 - 3997
[27] The Dirichlet problem for telegraph equation in a rectangular domain
Sabitova Y.K.
Russian Mathematics, 2017, 61 (12) : 39 - 48
[28] The Dirichlet problem at the Martin boundary of a fine domain
El Kadiri, Mohamed
Fuglede, Bent
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 457 (01) : 179 - 199
[29] Random homogenization of an obstacle problem
Caffarelli, L. A.
Mellet, A.
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2009, 26 (02): : 375 - 395
[30] Comparison of Approximate and Numerical Methods for Solving the Homogeneous Dirichlet Problem for the Helmholtz Operator in a Two-Dimensional Domain
Apushkinskiy, E. G.
Kozhevnikov, V. A.
Biryukov, A. V.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (09) : 3989 - 3997

← 1 2 3 4 5 →