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wright1181772224.pdf (212.42 KB)
ETD Abstract Container
Abstract Header
Estimates in the Generalized Morrey Space for Linear Parabolic Systems
Author Info
McBride, Matthew Scott
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=wright1181772224
Abstract Details
Year and Degree
2007, Master of Science (MS), Wright State University, Mathematics.
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.
Committee
Qingbo Huang (Advisor)
Pages
13 p.
Subject Headings
Mathematics
Keywords
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Citations
McBride, M. S. (2007).
Estimates in the Generalized Morrey Space for Linear Parabolic Systems
[Master's thesis, Wright State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=wright1181772224
APA Style (7th edition)
McBride, Matthew.
Estimates in the Generalized Morrey Space for Linear Parabolic Systems.
2007. Wright State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=wright1181772224.
MLA Style (8th edition)
McBride, Matthew. "Estimates in the Generalized Morrey Space for Linear Parabolic Systems." Master's thesis, Wright State University, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=wright1181772224
Chicago Manual of Style (17th edition)
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Document number:
wright1181772224
Download Count:
560
Copyright Info
© 2007, all rights reserved.
This open access ETD is published by Wright State University and OhioLINK.