Decay of the Total Variation

نویسنده

  • Maria Elena Schonbek
چکیده

In this paper we study the decay of solutions to parabolic conservation laws in the Hardy space H 1 and in the total variation norm. We show that solutions to scalar equations and systems decay to zero without a rate in H 1 , and that the total variation of solutions decays to zero at an algebraic rate.

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In this paper we study the decay of solutions to parabolic conservation laws in the Hardy space H 1 and in the total variation norm. We show that solutions to scalar equations and systems decay to zero without a rate in H 1 , and that the total variation of solutions decays to zero at an algebraic rate.

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تاریخ انتشار 1998