MultiScale Asymptotic Analysis Method with High Accuracy for the Second Order Elliptic Equation with Oscillating Periodic Coefficients in Perforated Domain

2009 International Conference on Artificial Intelligence and Computational Intelligence ◽

10.1109/aici.2009.452 ◽

2009 ◽

Author(s):

Xiao-qi Liu ◽

Qi-ding Zhu

Keyword(s):

Elliptic Equation ◽

Asymptotic Analysis ◽

High Accuracy ◽

Second Order ◽

Perforated Domain ◽

Order Elliptic Equation ◽

Analysis Method ◽

Periodic Coefficients ◽

Second Order Elliptic Equation

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Averaging of solutions of the Neumann problem for a second-order elliptic equation and systems in elasticity theory with rapidly oscillating periodic coefficients on a perforated domain

Russian Mathematical Surveys ◽

10.1070/rm1987v042n06abeh001510 ◽

1987 ◽

Vol 42 (6) ◽

pp. 237-238

Author(s):

G A Iosif'yan ◽

O A Oleinik ◽

A S Shamaev

Keyword(s):

Elliptic Equation ◽

Elasticity Theory ◽

Neumann Problem ◽

Second Order ◽

Perforated Domain ◽

Order Elliptic Equation ◽

Periodic Coefficients ◽

Second Order Elliptic Equation ◽

The Neumann Problem

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ON EXCEPTIONAL SETS ON THE BOUNDARY AND THE UNIQUENESS OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1981v039n01abeh001475 ◽

1981 ◽

Vol 39 (1) ◽

pp. 107-123 ◽

Author(s):

S V Gaĭdenko

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Uniqueness Of Solutions ◽

Exceptional Sets ◽

Second Order Elliptic Equation

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THE ASYMPTOTICS OF THE GREEN FUNCTION FOR A SECOND-ORDER ELLIPTIC EQUATION NEAR THE BOUNDARY OF THE DOMAIN

Mathematics of the USSR-Izvestiya ◽

10.1070/im1984v023n03abeh001787 ◽

1984 ◽

Vol 23 (3) ◽

pp. 579-594

Author(s):

A M Il'in ◽

B I Suleĭmanov

Keyword(s):

Green Function ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation ◽

The Green Function

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Solvability of the Dirichlet problem for the general second-order elliptic equation

Doklady Mathematics ◽

10.1134/s1064562411010091 ◽

2011 ◽

Vol 83 (1) ◽

pp. 30-33 ◽

Author(s):

V. Zh. Dumanyan

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

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The Dirichlet Problem for a Second Order Elliptic Equation

North-Holland Series in Applied Mathematics and Mechanics - Boundary Value Problems - For Second Order Elliptic Equations ◽

10.1016/b978-0-12-395747-4.50009-9 ◽

1968 ◽

pp. 78-90

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

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Coerciveness in ?2 of general boundary-value problems for a degenerate second-order elliptic equation

Functional Analysis and Its Applications ◽

10.1007/bf01076130 ◽

1969 ◽

Vol 2 (3) ◽

pp. 261-262 ◽

Author(s):

V. P. Glushko

Keyword(s):

Elliptic Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

General Boundary ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

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ON THE BEST HÖLDER EXPONENTS FOR GENERALIZED SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1988v059n01abeh003127 ◽

1988 ◽

Vol 59 (1) ◽

pp. 113-127 ◽

Author(s):

V A Kondrat'ev ◽

I Kopachek ◽

O A Oleĭnik

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Generalized Solutions ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation ◽

Hölder Exponents

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General non local boundary value problem for second order elliptic equation

Mathematische Nachrichten ◽

10.1002/mana.201700032 ◽

2018 ◽

Vol 291 (10) ◽

pp. 1470-1485

Author(s):

Aissa Aibeche ◽

Nasreddine Amroune ◽

Stephane Maingot

Keyword(s):

Elliptic Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Second Order ◽

Order Elliptic Equation ◽

Local Boundary ◽

Second Order Elliptic Equation ◽

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Smoothness of the solution of a monotonic boundary value problem for a second order elliptic equation in a general convex domain

Ordinary and Partial Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0087334 ◽

1976 ◽

pp. 135-151 ◽

Author(s):

Pierre Grisvard

Keyword(s):

Elliptic Equation ◽

Boundary Value Problem ◽

Convex Domain ◽

Boundary Value ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation ◽

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On the Structure of asymptotics of the solution of a second-order elliptic equation in a neighborhood of an angular point

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543808050131 ◽

2008 ◽

Vol 261 (S1) ◽

pp. 138-153 ◽

Author(s):

E. F. Lelikova

Keyword(s):

Elliptic Equation ◽

Second Order ◽

Angular Point ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

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