In this thesis we study the regularity property of a certain class of quasi-linear parabolic systems. It is well-known that such quasi-linear parabolic systems enjoy partial regularity property (see the work of M. Giaquinta and M. Struwe (GS82)). However, only little is known about everywhere regularity of weak solutions. It was shown in (Ama89) that the global existence result for a general class of regular cross diffusion parabolic systems if one shows the Holder-norms of solutions do not blow up in finite time. Therefore, everywhere regularity properties for such system are crucial.
|Commitee:||Cao, Weiming, Chen, Fengxin, Popescu, Gelu|
|School:||The University of Texas at San Antonio|
|School Location:||United States -- Texas|
|Source:||MAI 50/01M, Masters Abstracts International|
|Subjects:||Applied Mathematics, Mathematics|
|Keywords:||Holder continuity, Parabolic systems, Pde, Regularity, Weak solutions|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be