Dissertation/Thesis Abstract

Everywhere regularity for parabolic systems via non-linear heat approximation
by Le, Khoa N., M.S., The University of Texas at San Antonio, 2011, 65; 1498619
Abstract (Summary)

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.

Indexing (document details)
Advisor: Le, Dung
Commitee: Cao, Weiming, Chen, Fengxin, Popescu, Gelu
School: The University of Texas at San Antonio
Department: Mathematics
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
Publication Number: 1498619
ISBN: 978-1-124-86608-6
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