Report

Decay of the total variation and Hardy norms of solutions to parabolic conservation laws

Abstract:
We study the decay of solutions to parabolic conservation laws in the Hardy space $\cal H$$^{1} and in the total variation norm. We show that solutions to scalar equations and systems decay to zero without a rate in \cal H$$^{1}$, and that the total variation of solutions decays to zero at an algebraic rate.

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Publication date:
1998-11-05
URN:
uuid:36f64e08-941b-43d7-b410-cdb016eef53f
Local pid:
oai:eprints.maths.ox.ac.uk:1306