Partial Data Inverse Problems for Nonlinear Magnetic Schrödinger Equations

Abstract

We prove that the knowledge of the Dirichlet-to-Neumann map, measured on a part of the boundary of a bounded domain in ${\mathbb{R}}^n,n\ge 2$, can uniquely determine, in a nonlinear magnetic Schrödinger equation, the vector-valued magnetic potential and the scalar electric potential, both being nonlinear in the solution.

20 pages

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Cited by in corpus (4)

• Simultaneous recoveries for semilinear parabolic systems
• Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations
• An Inverse Problem for Non-linear Fractional Magnetic Schrodinger Equation
• A note on the partial data inverse problem for a nonlinear magnetic Schrödinger operator on Riemann surface