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Estimates in the Generalized Morrey Space for Linear Parabolic Systems

McBride, Matthew Scott

Abstract Details

2007, Master of Science (MS), Wright State University, Mathematics.
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.
Qingbo Huang (Advisor)
13 p.

Recommended Citations

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)