Abstract
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.
Funding source: Vietnam Institute for Advanced Study in Mathematics
Award Identifier / Grant number: B2019-TNA-01.T
Funding statement: This research is supported by Vietnam Institute for Advanced Study in Mathematics (VIASM) and by Vietnam Ministry of Education and Training under grant number B2019-TNA-01.T.
Acknowledgements
The authors thank the reviewers for their constructive comments and suggestions.
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