Uniqueness of Potential in Schrödinger's Equation with One Boundary Measurement

Authors

Mitchell Wyatt

Advisor(s)

Ian Knowles

Committee Member(s)

Craig Cowan

Ryoichi Kawai

Claudio Morales

Rudi Weikard

Zj Wu

Document Type

Dissertation

Date of Award

2013

Degree Name by School

Doctor of Philosophy (PhD) College of Arts and Sciences

Abstract

Given an open set ­ in RN, N≥2, and a single piece of Dirichlet-Neumann data for a solution u of an equation of the form -\Delta u + \chiAu=0, uniqueness of the set A is proven under some regularity assumptions and under the assumption of a so-called "i-contact" condition.

ProQuest Publication Number

Document on ProQuest

ISBN

978-1-303-32378-2

Comments

etdadmin_upload_231611

Recommended Citation

Wyatt, Mitchell, "Uniqueness of Potential in Schrödinger's Equation with One Boundary Measurement" (2013). All ETDs from UAB. 3383.
https://digitalcommons.library.uab.edu/etd-collection/3383