Inverse Problem for a Two-Dimensional Diffusion Equation in a Domain with Free Boundary

被引：0

作者：

M. I. Ivanchov

N. V. Pabyrivs’ka

机构：

[1] Franko Lviv National University,

[2] “Lvivs’ka Politekhnika” National University,undefined

来源：

Ukrainian Mathematical Journal | 2013年 / 65卷

关键词：

Inverse Problem; Parabolic Equation; Free Boundary; Diffusion Equation; Continuous Solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish conditions for the existence and uniqueness of a smooth solution to the inverse problem for a two-dimensional diffusion equation with unknown time-dependent leading coefficient in a domain with free-boundary. The equation of unknown boundary is given in the form of the product of a known function of space variables and an unknown time-dependent function.

引用

页码：1019 / 1031

页数：12

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