INVERSE PROBLEM FOR SEMILINEAR ULTRAPARABOLIC EQUATION OF HIGHER ORDER

被引：0

作者：

Protsakh, Nataliya ^{[1
]}

机构：

[1] NAS Ukraine, Pidstryhach Inst Appl Problems Mech & Math, Dept Math Phys, Naukova 3b Str, UA-79060 Lvov, Ukraine

来源：

MATHEMATICA BOHEMICA | 2015年 / 140卷 / 04期

关键词：

ultraparabolic equation; mixed problem; inverse problem; weak solution;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence and the uniqueness of the weak solution of an inverse problem for a semilinear higher order ultraparabolic equation with Lipschitz nonlinearity. The main aim is to determine the weak solution of the equation and some functions that depend on the time variable, appearing on the right-hand side of the equation. The overde-termination conditions introduced are of integral type. In order to prove the solvability of this problem in Sobolev spaces we use the Galerkin method and the method of successive approximations.

引用

页码：395 / 404

页数：10

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