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Can you please provide me with books that deal with lateral cauchy problem?

Also introductory articles are fine by me.

Is this topic covered in books like Evans', Taylor's, Hilbert-Courant's or other do specify where can I find a coverage of this topic.

Thanks.

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Victor Isakov's Inverse Problems for Partial Differential Equations has a quite extensive treatment of the Cauchy problem with lateral boundary data, see chapters 3, 7, 8.

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