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Lipschitz stability of an inverse problem for the Helmholtz equation

Qiu, L (Purdue University)
Thursday 15 December 2011, 14:00-14:30

Seminar Room 1, Newton Institute


Consider the inverse problem of determining the potential q from the Neumann-to-Dirichlet map q of a Schrödinger type equation.

A relevant question, specially in applications, is the stability of the inversion. In this work, a Lipschitz type stability is established assuming a priori that q is piecewise constant with a bounded know number of unknown values.


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