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- W4287967142 abstract "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 the derivative 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 Calder'on type inverse problem. Meanwhile, we can also derive the Lipschitz stability with finitely many measurements. The results hold for any $ngeq 1$." @default.
- W4287967142 created "2022-07-26" @default.
- W4287967142 creator A5004334781 @default.
- W4287967142 date "2020-05-14" @default.
- W4287967142 modified "2023-09-29" @default.
- W4287967142 title "Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities" @default.
- W4287967142 doi "https://doi.org/10.48550/arxiv.2005.07163" @default.
- W4287967142 hasPublicationYear "2020" @default.
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