Inverse free boundary problem for degenerate parabolic equation

被引：1

作者：

Huzyk, N. M. ^{[1
]}

Brodyak, O. Ya ^{[2
]}

Pukach, P. Ya ^{[2
]}

Vovk, M., I ^{[2
]}

机构：

[1] Hetman Petro Sahaidachnyi Natl Army Acad, 32 Heroes Maidan str, UA-79026 Lvov, Ukraine

[2] Lviv Polytech Natl Univ, 12 Bandera Str, UA-79013 Lvov, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2024年 / 16卷 / 01期

关键词：

coefficient inverse problem; free boundary problem; weak power degen- eration; parabolic equation; minor coefficient; TIME-DEPENDENT COEFFICIENT; MESHLESS METHOD; IDENTIFICATION;

D O I：

10.15330/cmp.16.1.230-245

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The coefficient inverse problem for a degenerate parabolic equation is studied in a free boundary domain. The degeneration of the equation is caused by time dependent function at the higher order derivative of unknown function. It is assumed that the coefficient at the minor derivative of the equation is a polynomial of the first order for the space variable with two unknown time depended functions. The conditions of existence and uniqueness of the classical solution to such inverse problem are established for the weak degeneration case at the Dirichlet boundary conditions and the values of heat moments as overdetermination conditions.

引用

页码：230 / 245

页数：16

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