Journal
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume 12, Issue 4, Pages 1755-1768Publisher
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/cpaa.2013.12.1755
Keywords
Cauchy problem; parabolic systems; sharp estimates; local behavior
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We study long-time behavior for the Cauchy problem of degenerate parabolic system which in the scalar case coincides with classical porous media equation. Sharp bounds of the decay in time estimates of a solution and its size of support were established. Moreover, local space-time estimates under the optimal assumption on initial data were proven.
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