In this short note, we investigate simultaneous recovery inverse problems for semilinear elliptic equations with partial data. The main technique is based on higher order linearization and monotonicity approaches. With these methods at hand, can determine the diffusion, cavity coefficients simultaneously by knowing corresponding localized Dirichlet-Neumann operators.

We consider the linear Schrödinger equation, in 1D, on a bounded interval, with Dirichlet boundary conditions and bilinear scalar control. The small-time local exact controllability around ground state was proved [5], under an appropriate nondegeneracy assumption. Here, we work weaker assumption prove projection, state, estimates control (depending linearly target) simultaneously several spaces...

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