Determining coefficients for a fractional p-Laplace equation from exterior measurements

Manas Kar, Yi Hsuan Lin*, Philipp Zimmermann

*此作品的通信作者

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摘要

We consider an inverse problem of determining the coefficients of a fractional p -Laplace equation in the exterior domain. Assuming suitable local regularity of the coefficients in the exterior domain, we offer an explicit reconstruction formula in the region where the exterior measurements are performed. This formula is then used to establish a global uniqueness result for real-analytic coefficients. In addition, we also derive a stability estimate for the unique determination of the coefficients in the exterior measurement set.

原文English
頁(從 - 到)338-365
頁數28
期刊Journal of Differential Equations
406
DOIs
出版狀態Published - 15 10月 2024

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