## 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

Topics: Numerical analysis
Publisher: Unspecified
Year: 1998
OAI identifier: oai:generic.eprints.org:1306/core69

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