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

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