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.
All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- Discrete Mathematics and Combinatorics
- Control and Optimization
- Fractional Laplacian
- Inverse problems
- Nonlinear perturbations