Evolution of Nonparametric Surfaces with Speed Depending on Curvature Function

Journal Home
Volume 37 - 2024
- Vol. 37, Issue 4 pp.355-490
- Vol. 37, Issue 3 pp.235-354
- Vol. 37, Issue 2 pp.121-234
- Vol. 37, Issue 1 pp.1-120
Volume 36 - 2023
- Vol. 36, Issue 4 pp.331-453
- Vol. 36, Issue 3 pp.235-330
- Vol. 36, Issue 2 pp.119-234
- Vol. 36, Issue 1 pp.1-118
Volume 35 - 2022
- Vol. 35, Issue 4 pp.307-408
- Vol. 35, Issue 3 pp.199-306
- Vol. 35, Issue 2 pp.101-198
- Vol. 35, Issue 1 pp.1-100
Volume 34 - 2021
- Vol. 34, Issue 4 pp.297-392
- Vol. 34, Issue 3 pp.201-296
- Vol. 34, Issue 2 pp.103-200
- Vol. 34, Issue 1 pp.1-102
Volume 33 - 2020
- Vol. 33, Issue 4 pp.291-394
- Vol. 33, Issue 3 pp.193-290
- Vol. 33, Issue 2 pp.93-192
- Vol. 33, Issue 1 pp.1-92
Volume 32 - 2019
- Vol. 32, Issue 4 pp.293-380
- Vol. 32, Issue 3 pp.191-292
- Vol. 32, Issue 2 pp.93-190
- Vol. 32, Issue 1 pp.1-92
Volume 31 - 2018
- Vol. 31, Issue 4 pp.291-384
- Vol. 31, Issue 3 pp.193-290
- Vol. 31, Issue 2 pp.97-192
- Vol. 31, Issue 1 pp.1-96
Volume 30 - 2017
- Vol. 30, Issue 4 pp.281-380
- Vol. 30, Issue 3 pp.189-280
- Vol. 30, Issue 2 pp.95-188
- Vol. 30, Issue 1 pp.1-94
Volume 29 - 2016
- Vol. 29, Issue 4 pp.255-359
- Vol. 29, Issue 3 pp.161-254
- Vol. 29, Issue 2 pp.89-160
- Vol. 29, Issue 1 pp.1-88
Volume 28 - 2015
- Vol. 28, Issue 4 pp.291-382
- Vol. 28, Issue 3 pp.197-290
- Vol. 28, Issue 2 pp.95-196
- Vol. 28, Issue 1 pp.1-94
Volume 27 - 2014
- Vol. 27, Issue 4 pp.283-372
- Vol. 27, Issue 3 pp.189-282
- Vol. 27, Issue 2 pp.95-188
- Vol. 27, Issue 1 pp.1-94
Volume 26 - 2013
- Vol. 26, Issue 4 pp.289-385
- Vol. 26, Issue 3 pp.193-288
- Vol. 26, Issue 2 pp.99-192
- Vol. 26, Issue 1 pp.1-98
Volume 25 - 2012
- Vol. 25, Issue 4 pp.295-387
- Vol. 25, Issue 3 pp.199-294
- Vol. 25, Issue 2 pp.103-198
- Vol. 25, Issue 1 pp.1-102
Volume 24 - 2011
- Vol. 24, Issue 4 pp.289-385
- Vol. 24, Issue 3 pp.195-288
- Vol. 24, Issue 2 pp.97-194
- Vol. 24, Issue 1 pp.1-96
Volume 23 - 2010
- Vol. 23, Issue 4 pp.305-401
- Vol. 23, Issue 3 pp.209-304
- Vol. 23, Issue 2 pp.105-208
- Vol. 23, Issue 1 pp.1-104
Volume 22 - 2009
- Vol. 22, Issue 4 pp.299-393
- Vol. 22, Issue 3 pp.199-298
- Vol. 22, Issue 2 pp.97-198
- Vol. 22, Issue 1 pp.1-96
Volume 21 - 2008
- Vol. 21, Issue 4 pp.289-383
- Vol. 21, Issue 3 pp.193-288
- Vol. 21, Issue 2 pp.97-192
- Vol. 21, Issue 1 pp.1-96
Volume 20 - 2007
- Vol. 20, Issue 4 pp.289-384
- Vol. 20, Issue 3 pp.193-288
- Vol. 20, Issue 2 pp.97-192
- Vol. 20, Issue 1 pp.1-96
Volume 19 - 2006
- Vol. 19, Issue 4 pp.289-383
- Vol. 19, Issue 3 pp.193-288
- Vol. 19, Issue 2 pp.97-192
- Vol. 19, Issue 1 pp.1-96
Volume 18 - 2005
- Vol. 18, Issue 4 pp.289-383
- Vol. 18, Issue 3 pp.193-288
- Vol. 18, Issue 2 pp.97-192
- Vol. 18, Issue 1 pp.1-96
Volume 17 - 2004
- Vol. 17, Issue 4 pp.289-383
- Vol. 17, Issue 3 pp.193-288
- Vol. 17, Issue 2 pp.97-192
- Vol. 17, Issue 1 pp.1-96
Volume 16 - 2003
- Vol. 16, Issue 4 pp.289-383
- Vol. 16, Issue 3 pp.193-288
- Vol. 16, Issue 2 pp.97-192
- Vol. 16, Issue 1 pp.1-96
Volume 15 - 2002
- Vol. 15, Issue 4 pp.1-95
- Vol. 15, Issue 3 pp.1-80
- Vol. 15, Issue 2 pp.1-96
- Vol. 15, Issue 1 pp.1-96
Volume 14 - 2001
- Vol. 14, Issue 4 pp.289-383
- Vol. 14, Issue 3 pp.193-288
- Vol. 14, Issue 2 pp.97-192
- Vol. 14, Issue 1 pp.1-96
Volume 13 - 2000
- Vol. 13, Issue 4 pp.289-383
- Vol. 13, Issue 3 pp.193-288
- Vol. 13, Issue 2 pp.97-192
- Vol. 13, Issue 1 pp.1-96
Volume 12 - 1999
- Vol. 12, Issue 4 pp.289-383
- Vol. 12, Issue 3 pp.193-288
- Vol. 12, Issue 2 pp.97-192
- Vol. 12, Issue 1 pp.1-96
Volume 11 - 1998
- Vol. 11, Issue 4 pp.289-383
- Vol. 11, Issue 3 pp.193-288
- Vol. 11, Issue 2 pp.97-192
- Vol. 11, Issue 1 pp.1-96
Volume 10 - 1997
- Vol. 10, Issue 4 pp.289-383
- Vol. 10, Issue 3 pp.193-288
- Vol. 10, Issue 2 pp.97-192
- Vol. 10, Issue 1 pp.1-96
Volume 9 - 1996
- Vol. 9, Issue 4 pp.289-383
- Vol. 9, Issue 3 pp.193-288
- Vol. 9, Issue 2 pp.97-192
- Vol. 9, Issue 1 pp.1-96
Volume 8 - 1995
- Vol. 8, Issue 4 pp.289-383
- Vol. 8, Issue 3 pp.193-288
- Vol. 8, Issue 2 pp.97-192
- Vol. 8, Issue 1 pp.1-96
Volume 7 - 1994
- Vol. 7, Issue 4 pp.289-383
- Vol. 7, Issue 3 pp.193-288
- Vol. 7, Issue 2 pp.97-192
- Vol. 7, Issue 1 pp.1-96
Volume 6 - 1993
- Vol. 6, Issue 4 pp.289-384
- Vol. 6, Issue 3 pp.193-288
- Vol. 6, Issue 2 pp.97-192
- Vol. 6, Issue 1 pp.1-96
Volume 5 - 1992
- Vol. 5, Issue 4 pp.1-95
- Vol. 5, Issue 3 pp.1-96
- Vol. 5, Issue 2 pp.1-96
- Vol. 5, Issue 1 pp.1-96
Volume 4 - 1991
- Vol. 4, Issue 4 pp.1-96
- Vol. 4, Issue 3 pp.1-96
- Vol. 4, Issue 2 pp.1-96
- Vol. 4, Issue 1 pp.1-96
Volume 3 - 1990
- Vol. 3, Issue 4 pp.1-95
- Vol. 3, Issue 3 pp.1-96
- Vol. 3, Issue 2 pp.1-96
- Vol. 3, Issue 1 pp.1-96
Volume 2 - 1989
- Vol. 2, Issue 4 pp.1-95
- Vol. 2, Issue 3 pp.1-96
- Vol. 2, Issue 2 pp.1-96
- Vol. 2, Issue 1 pp.1-94
Volume 1 - 1988
- Vol. 1, Issue 2 pp.1-96
- Vol. 1, Issue 1 pp.1-95

Volume 13, Issue 4

Huizhao Liu , Yan Wang & Guanglie Wang

J. Part. Diff. Eq., 13 (2000), pp. 301-319.

Published online: 2000-11

Preview Purchase PDF 1746 30347

Cited by

google scholar semantic scholar

Export citation

Abstract

We investigate the asymptotic behaviour of solution of the initial-boundary value problem for the equation, which describes the evolution of graphs with speed depending on curvature function of current graphs. In contrast with [1-5] and others, in which the speed of flow of graphs is directly proportional to the curvature of graphs, here we discuss is that the speed is inversely proportional to the curvature of graphs, and our methods is different from theirs.

Keywords

Evolution of surface curvature function boundary condition classical solution asymptotic behaviour

AMS Subject Headings

Email address

BibTex
RIS
TXT

@Article{JPDE-13-301, author = {Huizhao Liu , Yan Wang and Guanglie Wang }, title = {Evolution of Nonparametric Surfaces with Speed Depending on Curvature Function}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {4}, pages = {301--319}, abstract = { We investigate the asymptotic behaviour of solution of the initial-boundary value problem for the equation, which describes the evolution of graphs with speed depending on curvature function of current graphs. In contrast with [1-5] and others, in which the speed of flow of graphs is directly proportional to the curvature of graphs, here we discuss is that the speed is inversely proportional to the curvature of graphs, and our methods is different from theirs.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5516.html} }

TY - JOUR T1 - Evolution of Nonparametric Surfaces with Speed Depending on Curvature Function AU - Huizhao Liu , Yan Wang & Guanglie Wang JO - Journal of Partial Differential Equations VL - 4 SP - 301 EP - 319 PY - 2000 DA - 2000/11 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5516.html KW - Evolution of surface KW - curvature function KW - boundary condition KW - classical solution KW - asymptotic behaviour AB - We investigate the asymptotic behaviour of solution of the initial-boundary value problem for the equation, which describes the evolution of graphs with speed depending on curvature function of current graphs. In contrast with [1-5] and others, in which the speed of flow of graphs is directly proportional to the curvature of graphs, here we discuss is that the speed is inversely proportional to the curvature of graphs, and our methods is different from theirs.

Huizhao Liu , Yan Wang and Guanglie Wang . (2000). Evolution of Nonparametric Surfaces with Speed Depending on Curvature Function. Journal of Partial Differential Equations. 13 (4). 301-319. doi:

Copy to clipboard

BibteX RIS TXT

The citation has been copied to your clipboard

- LOGIN -

- E-mail verification -

- REGISTER -