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Decay and growth for a nonlinear parabolic difference equation
Author(s):
Sergiu
Hart;
Benjamin
Weiss
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2613-2620.
MSC (2000):
Primary 35K15, 35K55, 39A05;
Secondary 60J10
Posted:
April 19, 2005
MathSciNet review:
2146206
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Abstract:
We prove a difference equation analogue of the decay-of-mass result for the nonlinear parabolic equation  when  and a new growth result when  .
References:
- 1.
- Ben-Artzi, M., J. Goodman and A. Levy [2000], ``Remarks on a Nonlinear Parabolic Equation,'' Transactions of the American Mathematical Society, 352, 731-751. MR 1615935 (2000c:35092)
- 2.
- Feller, W. [1968], An Introduction to Probability Theory and Its Applications, Volume 1, Third Edition, Wiley. MR 0228020 (37:3604)
- 3.
- Gilding, B., M. Guedda and R. Kersner [1998], ``The Cauchy Problem for the KPZ Equation,'' prepublication LAMFA 28, Amiens, December 1998.
- 4.
- Laurençot, P. and P. Souplet [2003], ``On the Growth of Mass for a Viscous Hamilton-Jacobi Equation,'' Journal d'Analyse Mathématique, 89, 367-383. MR 1981925 (2004c:35188)
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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
Email:
weiss@math.huji.ac.il
DOI:
10.1090/S0002-9939-05-08052-4
PII:
S 0002-9939(05)08052-4
Received by editor(s):
January 28, 2004
Received by editor(s) in revised form:
March 27, 2004
Posted:
April 19, 2005
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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