Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities

Yi Hsuan Lin*

*此作品的通信作者

研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)

摘要

We investigate the monotonicity method for fractional semilinear elliptic equations with power type nonlinearities. We prove that if-and-only-if monotonicity relations between coefficients and derivatives of the Dirichlet-to-Neumann map hold. Based on the strong monotonicity relations, we study a constructive global uniqueness for coefficients and inclusion detection for the fractional Calderón type inverse problem. Meanwhile, we can also derive the Lipschitz stability with finitely many measurements. The results hold for any n≥ 1.

原文English
文章編號188
期刊Calculus of Variations and Partial Differential Equations
61
發行號5
DOIs
出版狀態Published - 10月 2022

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