Continuation from discrete sets and inverse problems

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Issue Date
2023-07
Authors
Domme, Cristina Camelia
Advisor
Bukhgeym, Alexander L.
Citation
Abstract

It is well known that every smooth surface S is at least locally generated by the Dirac equation with real potential. In this dissertation, we study the inverse problem of recovering this potential and surface based on given Gaussian curvature and discrete Cauchy data on assuming that S is a Willmore surface We reduce this problem to several problems of the type:

with given discrete Cauchy data on {} For sequence we assume Blaschke condition

Our main tool is Carleman estimates.

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Description
Thesis (Ph.D.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
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