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.
Bibliographical noteFunding Information:
Acknowledgment. R.-Y. Lai was partially supported by NSF grant DMS-1714490 and DMS-2006731. L. Ohm was supported by NSF grant DMS-1714490 during summer 2020 and NSF grant DMS-2001959.
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- Fractional Laplacian
- Inverse problems
- Nonlinear perturbations