Global ETD Search
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Showing 1 to 2 of 2 for “"the Calderón problem"”.
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The Calderón problem for connections
This thesis is concerned with the inverse problem of determining a unitary connection $A$ on a Hermitian vector bundle $E$ of rank $m$ over a compact Riemannian manifold $(M, g)$ from the Dirichlet-to-Neumann (DN) map $\Lambda_A$ of the associated connection Laplacian $d_A^*d_A$. The connection is …
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Consistency of nonparametric Bayesian methods for two statistical inverse problems arising from partial differential equations
… natural phenomena. When trying to understand the parameters driving these phenomena, we must be aware of the inevitable errors in our measurements; in statistical inverse problems these measurement errors are modelled by statistical noise. One approach to recovering the PDE coefficients …