Uniqueness and stability of an inverse problem for a phase field model using data from one component

详细信息    查看全文

• 作者：Bin Wu ; Qun Chen ; Zewen Wang
• 关键词：Phase field model ; Inverse problem ; Carleman estimate ; Lipschitz stability ; Uniqueness
• 刊名：Computers and Mathematics with Applications
• 出版年：December, 2013
• 年：2013
• 卷：66
• 期：10
• 页码：2126-2138
• 全文大小：433 K

文摘

We study an inverse problem of determining a spatial varying coefficient in a parabolic-hyperbolic phase field model with the following observation data of only one component: the order parameter in a subdomain satisfying along a sufficiently large time interval and at a suitable time over the whole spatial domain. Based on a Carleman estimate for the parabolic-hyperbolic phase field system, we prove the Lipschitz stability and uniqueness for this inverse problem.