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Stability results for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source
Authors: Dinh Nho Hao, Nguyen Van Duc, Nguyen Thi Ngoc Oanh
184    0
Journal of Inverse and Ill-posed Problems
: 29/4     : 499-513
: https://www.degruyter.com/document/doi/10.1515/jiip-2020-0125/html?lang=de
Publishing year: 7/2021
Stability estimates of Hölder type for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source are obtained. It is noticed that stability results for weak solutions to nonlinear inverse problems are very rare in the literature.
Backward semi-linear parabolic equations, locally Lipschitz source, ill-posed problems, stability estimate, weak solution
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