Singular integration with applications to boundary value problems

Date

2016-08-01

Journal Title

Journal ISSN

Volume Title

Publisher

Kansas State University

Abstract

This report explores singular integration, both real and complex, focusing on the the Cauchy type integral, culminating in the proof of generalized Sokhotski-Plemelj formulae and the applications of such to a Riemann-Hilbert problem.

Description

Keywords

Boundary Value Problem, Singular Integration, Sokhotski, Plemelj, Riemann-Hilbert, Cauchy type integral

Graduation Month

August

Degree

Master of Science

Department

Mathematics

Major Professor

Nathan Albin; Pietro Poggi-Corradini

Date

2016

Type

Report

Citation