Direct and inverse asymptotic problems with high-frequency terms

被引：5

作者：

Babich, P. V. ^{[1
]}

Levenshtam, V. B. ^{[1
,2
]}

机构：

[1] So Fed Univ, Rostov Na Donu, Russia

[2] Southern Math Inst Vladikavkaz, Rostov Na Donu, Russia

来源：

ASYMPTOTIC ANALYSIS | 2016年 / 97卷 / 3-4期

关键词：

asymptotics; heat equation; high-frequency; inverse problem;

D O I：

10.3233/ASY-161356

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the first boundary value problem for the heat equation with a fast oscillating source. Direct and inverse problems are solved. The direct problem is to construct and justify an asymptotic expansion for the solution under appropriate assumptions. The inverse problem is to find the source if the value of two-term asymptotic expansion for solution at some point of space is given.

引用

页码：329 / 336

页数：8

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