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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Decay and growth for a nonlinear parabolic difference equation
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by Sergiu Hart and Benjamin Weiss PDF
Proc. Amer. Math. Soc. 133 (2005), 2613-2620 Request permission

Abstract:

We prove a difference equation analogue of the decay-of-mass result for the nonlinear parabolic equation $u_{t}=\Delta u+\mu |\nabla u|$ when $\mu <0,$ and a new growth result when $\mu >0$.
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Additional Information
  • Sergiu Hart
  • Affiliation: Institute of Mathematics, Department of Economics, and Center for the Study of Rationality, Feldman Building, Givat Ram Campus, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel
  • Email: hart@huji.ac.il
  • Benjamin Weiss
  • Affiliation: Institute of Mathematics, and Center for the Study of Rationality, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel
  • MR Author ID: 181570
  • Email: weiss@math.huji.ac.il
  • Received by editor(s): January 28, 2004
  • Received by editor(s) in revised form: March 27, 2004
  • Published electronically: April 19, 2005
  • Communicated by: David S. Tartakoff
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 2613-2620
  • MSC (2000): Primary 35K15, 35K55, 39A05; Secondary 60J10
  • DOI: https://doi.org/10.1090/S0002-9939-05-08052-4
  • MathSciNet review: 2146206