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Creators/Authors contains: "Zhou, Hanming"

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  1. ; ; (, SIAM Journal on Applied Mathematics)
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  2. ; (, Inverse Problems)
    Abstract In this paper, we consider the travel time tomography problem for conformal metrics on a bounded domain, which seeks to determine the conformal factor of the metric from the lengths of geodesics joining boundary points. We establish forward and inverse stability estimates for simple conformal metrics under somea prioriconditions. We then apply the stability estimates to show the consistency of a Bayesian statistical inversion technique for travel time tomography with discrete, noisy measurements. 
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  3. ; ; (, Archive for Rational Mechanics and Analysis)
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  4. ; ; ; (, SIAM Journal on Imaging Sciences)
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  5. ; (, Journal of Differential Equations)
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  6. ; (, Inverse Problems)
    Abstract We consider the problem of reconstructing a background potential from the dynamical behavior of vortex dipole. We prove that under suitable conditions, one can uniquely reconstruct a real-analytic potential by measuring the entrance and exit positions as well as travel times between boundary points. In particular, the work removes the flatness assumption on the potential from the earlier result. A key step of our method is a constructional procedure of recovering the boundary jet of the potential. 
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  7. ; ; (, The Journal of Geometric Analysis)
    null (Ed.)
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