The Mathematical Institute, University of Oxford, Eprints Archive

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

Schonbek, Maria E. and Suli, Endre (1998) Decay of the total variation and Hardy norms of solutions to parabolic conservation laws. Technical Report. Unspecified. (Submitted)

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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.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1306
Deposited By:Lotti Ekert
Deposited On:04 Jun 2011 09:12
Last Modified:04 Jun 2011 09:12

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