Carleman estimate and an inverse source problem for the Kelvin?Voigt model for viscoelasticity

We consider the Kelvin?Voigt model for the viscoelasticity, and prove a Carleman estimate for functions without compact supports. Then we apply this Carleman estimate to prove the Lipschitz stability in determining a spatial varying function in an external source term of Kelvin?Voigt model by a single measurement.

Authors
Imanuvilov O.Y.1 , Yamamoto M. 2, 3, 4
Journal
Inverse Problems
Publisher
Institute of Physics Publishing
Number of issue
12
Language
English
Status
Published
DOI
10.1088/1361-6420/ab323e
Number
125001
Volume
35
Year
2019
Organizations
  • 1 Colorado State Univ, Dept Math, 101 Weber Bldg, Ft Collins, CO 80523 USA
  • 2 Univ Tokyo, Dept Math Sci, Meguro Ku, Tokyo 153, Japan
  • 3 Acad Romanian Scientists, Splaiul Independentei St 54, Bucharest 050094, Romania
  • 4 Peoples Friendship Univ Russia, RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
Keywords
Carleman estimate; inverse source problen; Kelvin?Voigt model
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/55606/
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