Holder continuity for degenerate parabolic equations
by Kha, Minh Tuan, M.S., THE UNIVERSITY OF TEXAS AT SAN ANTONIO, 2011, 62 pages; 1498612

Abstract:

In this thesis, we will prove the Hölder continuity for bounded weak solutions of a large class of degenerate parabolic equations, which are called the porous medium equations. By using auxiliary logarithmic functions, we introduce a new approach that combines both De Giorgi and Möser iteration methods. We consider both the interior and Neumann boundary cases. Then at the end of this thesis, we present some applications to some particular degenerate triangular systems.
 
AdviserDung Le
SchoolTHE UNIVERSITY OF TEXAS AT SAN ANTONIO
SourceMAI/ 50-01, p. , Oct 2011
Source TypeThesis
SubjectsApplied mathematics; Mathematics
Publication Number1498612
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