Publication Date
2007
Document Type
Thesis
Committee Members
Qingbo Huang (Advisor)
Degree Name
Master of Science (MS)
Abstract
The purpose of the this paper is to study the parabolic system u_t^{i} - D_α(a_ij^{αβ}D_βu^j) = -div f^i in the generalized Morrey Space L_φ^{2,λ} . We would like to understand the regularity of the solutions of this system. It will be shown that 1: if a_ij^{αβ} in C(Q_T) then Du in L_φ^{2,λ}, and 2: if a_ij^{αβ} in VMO(Q_T) then Du in L_φ^{2,λ}. Moreover we will be able to obtain estimates on the gradient of the solutions to the system, which will tell us about the regularity of the solutions.
Page Count
13
Department or Program
Department of Mathematics and Statistics
Year Degree Awarded
2007
Copyright
Copyright 2007, all rights reserved. This open access ETD is published by Wright State University and OhioLINK.
