Inverse initial value identification for a time-fractional parabolic equation
Dr. Subhankar Mondal (Post Doctoral Fellow, TIFR CAM)
| Speaker |
Dr. Subhankar Mondal (Post Doctoral Fellow, TIFR CAM)
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|---|---|
| When |
Dec 06, 2024
from 04:00 PM to 05:00 PM |
| Where | LH-006, Ground Floor |
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Title: Inverse initial value identification for a time-fractional parabolic equation
Abstract: We consider the inverse problem of retrieving the initial value of a time-fractional fourth order parabolic equation from source and final time observation. Since the considered problem is ill-posed, we obtain regularized approximations for the sought initial value by employing the quasi-boundary value method and its modification. We provide both the apriori and aposteriori parameter choice strategies and obtain the error estimates of H{\"o}lder type under some typical source condition. Moreover, we show that for some case