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A Hölder stability estimate for inverse problems for the ultrahyperbolic Schrödinger equation. (English) Zbl 1428.35679
Summary: In this article, we first establish a global Carleman estimate for an ultrahyperbolic Schrödinger equation. Next, we prove Hölder stability for the inverse problem of determining a coefficient or a source term in the equation by some lateral boundary data.
MSC:
35R30 Inverse problems for PDEs
35B35 Stability in context of PDEs
35Q40 PDEs in connection with quantum mechanics
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