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Rarefactions and large time behavior for parabolic equations and monotone schemes

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Abstract

We consider the large time behavior of monotone semigroups associated with degenerate parabolic equations and monotone difference schemes. For an appropriate class of initial data the solution is shown to converge to rarefaction waves at a determined asymptotic rate.

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Author notes

  1. Eduard Harabetian

    Present address: Department of Mathematics, The University of Michigan, 48109-1003, Ann Arbor, Michigan, USA

Authors and Affiliations

  1. Department of Mathematics, Stanford University, 94305, Stanford, CA, USA

    Eduard Harabetian

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  1. Eduard Harabetian
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Additional information

Communicated by A. Jaffe

Supported by NSF Postdoctoral Fellowship Grant No. DMS 85-11476 This research was supported in part by the Institute for Math and its Applications with funds provided by the National Science Foundation

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Harabetian, E. Rarefactions and large time behavior for parabolic equations and monotone schemes. Commun.Math. Phys. 114, 527–536 (1988). https://doi.org/10.1007/BF01229452

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  • DOI: https://doi.org/10.1007/BF01229452

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