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 $\mu >0$.References
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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