The number of peaks of nonnegative solutions to some nonlinear degenerate parabolic equations

Shigeru Sakaguchi

doi:10.1006/jmaa.1996.0368

The number of peaks of nonnegative solutions to some nonlinear degenerate parabolic equations

Shigeru Sakaguchi

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We consider the Cauchy problems for some nonlinear degenerate parabolic equations in ℝ^N for nonzero bounded nonnegative initial data having compact support, and show that the set of peaks of the nonnegative solution consists of one point after a finite time.

Original language	English
Pages (from-to)	78-103
Number of pages	26
Journal	Journal of Mathematical Analysis and Applications
Volume	203
Issue number	1
DOIs	https://doi.org/10.1006/jmaa.1996.0368
Publication status	Published - 1996 Oct 1
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1006/jmaa.1996.0368

Cite this

@article{db876571037f45bc8e5844a21e4f6b86,

title = "The number of peaks of nonnegative solutions to some nonlinear degenerate parabolic equations",

abstract = "We consider the Cauchy problems for some nonlinear degenerate parabolic equations in ℝN for nonzero bounded nonnegative initial data having compact support, and show that the set of peaks of the nonnegative solution consists of one point after a finite time.",

author = "Shigeru Sakaguchi",

year = "1996",

month = oct,

day = "1",

doi = "10.1006/jmaa.1996.0368",

language = "English",

volume = "203",

pages = "78--103",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - The number of peaks of nonnegative solutions to some nonlinear degenerate parabolic equations

AU - Sakaguchi, Shigeru

PY - 1996/10/1

Y1 - 1996/10/1

N2 - We consider the Cauchy problems for some nonlinear degenerate parabolic equations in ℝN for nonzero bounded nonnegative initial data having compact support, and show that the set of peaks of the nonnegative solution consists of one point after a finite time.

AB - We consider the Cauchy problems for some nonlinear degenerate parabolic equations in ℝN for nonzero bounded nonnegative initial data having compact support, and show that the set of peaks of the nonnegative solution consists of one point after a finite time.

UR - http://www.scopus.com/inward/record.url?scp=0030268367&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030268367&partnerID=8YFLogxK

U2 - 10.1006/jmaa.1996.0368

DO - 10.1006/jmaa.1996.0368

M3 - Article

AN - SCOPUS:0030268367

VL - 203

SP - 78

EP - 103

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -

The number of peaks of nonnegative solutions to some nonlinear degenerate parabolic equations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this