Inverse problems for the phase field system with one observation

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

Research output: Contribution to journalArticle

2 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 languageEnglish
Pages (from-to)529-545
Number of pages17
JournalApplicable Analysis
Volume88
Issue number4
DOIs
Publication statusPublished - 2009 Apr 1

Fingerprint

Phase-field Systems
Inverse problems
Inverse Problem
Carleman Estimate
Energy Estimates
Diffusion Coefficient
Bounded Domain
Estimate
Observation

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Baranibalan, N. ; Sakthivel, K. ; Balachandran, K. ; Kim, J. H. / Inverse problems for the phase field system with one observation. In: Applicable Analysis. 2009 ; Vol. 88, No. 4. pp. 529-545.
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Inverse problems for the phase field system with one observation. / Baranibalan, N.; Sakthivel, K.; Balachandran, K.; Kim, J. H.

In: Applicable Analysis, Vol. 88, No. 4, 01.04.2009, p. 529-545.

Research output: Contribution to journalArticle

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