An inverse problem for semilinear equations involving the fractional Laplacian

Author:

Kow Pu-ZhaoORCID,Ma ShiqiORCID,Sahoo Suman KumarORCID

Abstract

Abstract Our work concerns the study of inverse problems of heat and wave equations involving the fractional Laplacian operator with zeroth order nonlinear perturbations. We recover nonlinear terms in the semilinear equations from the knowledge of the fractional Dirichlet-to-Neumann type map combined with the Runge approximation and the unique continuation property of the fractional Laplacian.

Funder

European Research Council under Horizon 2020

Centre of Excellence in Inverse Modelling and Imaging

Publisher

IOP Publishing

Subject

Applied Mathematics,Computer Science Applications,Mathematical Physics,Signal Processing,Theoretical Computer Science

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1. Inverse problems for some fractional equations with general nonlinearity;Research in the Mathematical Sciences;2023-10-17

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