Inverse Problems for Parabolic Equation with Discontinuous Coefficients

• Autorzy: V. Dinakar , N. Barani Balan , K. Balachandran
• Języki publikacji: EN

Abstrakty

EN

We consider the reaction-diffusion equation with discontinuities in the diffusion coefficient and the potential term. We start by deriving the Carleman estimate for the discontinuous reaction-diffusion operator which is deployed in the inverse problems of finding the stability result of the two discontinuous coefficients from the internal observations of the given parabolic equation.

Słowa kluczowe

EN

Stability; Inverse problems; Reaction-Diffusion model; Carleman estimate

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 40-51

Daty

wydano

2017-10-26

otrzymano

2016-08-06

zaakceptowano

2017-09-12

online

2017-10-18

Twórcy

autor

V. Dinakar

• , 641 046,

autor

N. Barani Balan

• - 610 005,

autor

K. Balachandran

• , 641 046,

Identyfikatory

DOI

10.1515/msds-2017-0005