Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

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
Retrieve article in: PDF DVI PostScript

Abstract | References | Similar articles | Additional information

Abstract: We prove a difference equation analogue of the decay-of-mass result for the nonlinear parabolic equation $u_{t}=\Delta u+\mu \vert\nabla u\vert$ when $\mu <0,$ and a new growth result when $\mu>0$ .

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)

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35K15, 35K55, 39A05, 60J10

Retrieve articles in all Journals with MSC (2000): 35K15, 35K55, 39A05, 60J10

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.


	Comments: webmaster@ams.org © Copyright 2008, American Mathematical Society Privacy Statement		Search the AMS