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

DOI10.1007/s00526-022-02299-0zbMath1495.35213arXiv2005.07163OpenAlexW3025108768WikidataQ114017803 ScholiaQ114017803MaRDI QIDQ2159520

Yi-Hsuan Lin

Publication date: 1 August 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07163

zbMATH Keywords

Dirichlet-to-Neumann mapcoefficients and inclusion detectionconstructive global uniquenessfractional Calderón-type inverse problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (10)

Simultaneous recoveries for semilinear parabolic systems ⋮ An inverse problem for semilinear equations involving the fractional Laplacian ⋮ An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds ⋮ Inverse problems for some fractional equations with general nonlinearity ⋮ Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation ⋮ On determining and breaking the gauge class in inverse problems for reaction-diffusion equations ⋮ Inverse problem for a nonlocal diffuse optical tomography equation ⋮ Determining a nonlinear hyperbolic system with unknown sources and nonlinearity ⋮ The fractional \(p\)-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems ⋮ An inverse problem for the non-linear fractional magnetic Schrödinger equation

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