## Uniqueness in Calderón’s problem with Lipschitz conductivities.(English)Zbl 1260.35251

Summary: We use $$X^{s,b}$$-inspired spaces to prove a uniqueness result for Calderón’s problem in a Lipschitz domain $$\Omega$$ under the assumption that the conductivity lies in the space $$W^{1,\infty}(\overline{\Omega})$$. For Lipschitz conductivities, we obtain uniqueness for conductivities close to the identity in a suitable sense. We also prove uniqueness for arbitrary $$C^{1}$$ conductivities.

### MSC:

 35R30 Inverse problems for PDEs 78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory
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### References:

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