The Galerkin Method for Nonclassical Equations of Mathematical Physics

被引：4

作者：

Egorov, Ivan E. ^{[1
]}

Fedorov, Valery E. ^{[1
]}

Tikhonova, Irina M. ^{[1
]}

Efimova, Elena S. ^{[1
]}

机构：

[1] North Eastern Fed Univ, 58,Belinskogo Str, Yakutsk 677000, Russia

来源：

PROCEEDINGS OF THE 8TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING (ICMM-2017) | 2017年 / 1907卷

关键词：

BOUNDARY-PROBLEM; MIXED-TYPE;

D O I：

10.1063/1.5012622

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present article is a review of authors's results obtained in the recent years by the Galerkin method. Boundary value problems for mixed type equations and equations with changing time direction are studied. Approximate solutions for every problem are constructed with the help of a special basis. Global a priori estimates are established in the domain. On the base of these estimates, the unique solvability of boundary values problems is proven. For most of the problems, error estimates of the Galerkin method are justified.

引用

页数：11

共 35 条

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[12]

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[13]

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[14]

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[15]

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[17]

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[18]

Egorov I.E., 1995, Higher-Order Nonclassical Equations of Mathematical Physics

[19]

Egorov I. E., 2000, Nonclassical Operator-Differential Equations

[20]

Egorov I. E., 1998, MATEM ZAMETKI YAGU, V5, P77

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