An inverse problem with the nonlocal Dirichlet boundary condition

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Abstract

In this study we consider the inverse problem of determining the nonlinear right-hand side of a quasi-linear parabolic equation and prove a uniqueness theorem. Stability estimate for the solution are obtained. A method of representing the nonlinear right-hand side explicitly is proposed for the special case.

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europepmc
last seen: 2026-05-19T01:45:01.086888+00:00