Mixed type boundary value problems for polymetaharmonic equations

被引：1

作者：

Chkadua, George ^{[1
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2016年 / 23卷 / 04期

关键词：

Polymetaharmonic equation; mixed problems; potential method; pseudodifferential equations; asymptotic expansion; smoothness of solutions; GENERAL TRANSMISSION PROBLEMS; ELASTIC OSCILLATIONS; ANISOTROPIC BODIES; ASYMPTOTICS;

D O I：

10.1515/gmj-2016-0042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper we consider three-dimensional Riquier-type and classical mixed boundary value problems for the polymetaharmonic equation (Delta + k(1)(2))(Delta + k(2)(2))u = 0. We investigate these problems by means of the potential method and the theory of pseudodifferential equations. We prove the existence and uniqueness theorems in Sobolev-Slobodetskii spaces, analyse the asymptotic properties of solutions and establish the best Holder smoothness results for solutions.

引用

页码：489 / 510

页数：22

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