Control of essential supremum of solutions of quasilinear degenerate parabolic equations

Authors :: S. Bonafede
Francesco Nicolosi
Source :: Applicable Analysis. 79:405-418
Publication Year :: 2001
Publisher :: Informa UK Limited, 2001.
Abstract: Sufficient conditions are obtained so that a weak subsolution of a class of quasilinear degenerate parabolic equations, bounded from above on theparabolic boundary of the cylinder Q, turns out to be bounded from above in Q.

Subjects :: Maximum principle
Applied Mathematics
Bounded function
Degenerate energy levels
Mathematical analysis
Mathematics::Analysis of PDEs
Cylinder
Degenerate equation
Boundary (topology)
Essential supremum and essential infimum
Parabolic partial differential equation
Analysis
Mathematics

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