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

By Maria E. Schonbek and Endre Suli


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
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