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Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements

Published 31 May 2022 in math.AP | (2205.16000v4)

Abstract: We establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements. We give a proof based on a linearization procedure together with special solutions constructed from the fundamental solution of the linearized problem.

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