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.
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页码：1019 / 1031
页数：12
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