Inverse problems for the phase field system with one observation

N. Baranibalan; K. Sakthivel; K. Balachandran; J. H. Kim

doi:10.1080/00036810902890540

Inverse problems for the phase field system with one observation

N. Baranibalan, K. Sakthivel, K. Balachandran, J. H. Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

First we establish a Carleman estimate with a single observation acting on a subdomain for the phase field system in a bounded domain [image omitted] Then this estimate is successfully used along with certain energy estimates to obtain the stability result for the inverse problem consisting of retrieving a smooth diffusion coefficient in the given system for the dimension [image omitted].

Original language	English
Pages (from-to)	529-545
Number of pages	17
Journal	Applicable Analysis
Volume	88
Issue number	4
DOIs	https://doi.org/10.1080/00036810902890540
Publication status	Published - 2009 Apr

Bibliographical note

Funding Information:
The work of K. Sakthivel was supported by the Brain Korea 21 project at Yonsei University, 2008. The work of J.-H. Kim was financially supported by the Ministry of Knowledge Economy (MKE) and Korea Industrial Technology Foundation (KOTEF) through the Human Resource Training Project for Strategic Technology, 2008.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1080/00036810902890540

Cite this

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note = "Funding Information: The work of K. Sakthivel was supported by the Brain Korea 21 project at Yonsei University, 2008. The work of J.-H. Kim was financially supported by the Ministry of Knowledge Economy (MKE) and Korea Industrial Technology Foundation (KOTEF) through the Human Resource Training Project for Strategic Technology, 2008.",

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AU - Kim, J. H.

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N2 - First we establish a Carleman estimate with a single observation acting on a subdomain for the phase field system in a bounded domain [image omitted] Then this estimate is successfully used along with certain energy estimates to obtain the stability result for the inverse problem consisting of retrieving a smooth diffusion coefficient in the given system for the dimension [image omitted].

AB - First we establish a Carleman estimate with a single observation acting on a subdomain for the phase field system in a bounded domain [image omitted] Then this estimate is successfully used along with certain energy estimates to obtain the stability result for the inverse problem consisting of retrieving a smooth diffusion coefficient in the given system for the dimension [image omitted].

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Inverse problems for the phase field system with one observation

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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