Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations

Abstract

We study the inverse problem for the fractional Laplace equation with multiple nonlinear lower order terms. We show that the direct problem is well-posed and the inverse problem is uniquely solvable. More specifically, the unknown nonlinearities can be uniquely determined from exterior measurements under suitable settings.

17 pages

References in corpus (2)

• Reconstruction for the coefficients of a quasilinear elliptic partial differential equation
• Partial Data Inverse Problems for Nonlinear Magnetic Schrödinger Equations

Cited by in corpus (1)

• An Inverse Problem for Non-linear Fractional Magnetic Schrodinger Equation