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math.AP2023
A nonlocal-to-local transfer principle for parabolic Calderón problems
Ching-Lung Lin, Yi-Hsuan Lin, Gunther Uhlmann
We prove a nonlocal-to-local transfer principle for fractional powers of variable coefficient parabolic operators. Let , where is a uniformly…
math.AP2023
A Reduction of the Fractional Calderón Problem to the Local Calderón Problem by Means of the Caffarelli-Silvestre Extension
Giovanni Covi, Tuhin Ghosh, Angkana Rüland +1
We relate the (anisotropic) variable coefficient local and nonlocal Calderón problems by means of the Caffarelli-Silvestre extension. In particular, we prove that (partial) Dirichl…