A density-dependent diffusion system with stable discontinuous stationary solutions

D. G. Aronson; A. Tesei; Hans F Weinberger

doi:10.1007/BF01766153

A density-dependent diffusion system with stable discontinuous stationary solutions

D. G. Aronson, A. Tesei, Hans F Weinberger

Mathematics

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

18 Scopus citations

Abstract

We study stationary solutions of a parabolic system arising in population dynamics. An uncountable infinity of such solutions exists. Solutions belonging to a certain class are shown to be stable in a suitable sense.

Original language	English (US)
Pages (from-to)	259-280
Number of pages	22
Journal	Annali di Matematica Pura ed Applicata
Volume	152
Issue number	1
DOIs	https://doi.org/10.1007/BF01766153
State	Published - Dec 1 1988

Access

10.1007/BF01766153

OpenUrl availability

Full text

Cite this

@article{ac56f845de31484185dd29840d0ee334,

title = "A density-dependent diffusion system with stable discontinuous stationary solutions",

abstract = "We study stationary solutions of a parabolic system arising in population dynamics. An uncountable infinity of such solutions exists. Solutions belonging to a certain class are shown to be stable in a suitable sense.",

author = "Aronson, {D. G.} and A. Tesei and Weinberger, {Hans F}",

year = "1988",

month = dec,

day = "1",

doi = "10.1007/BF01766153",

language = "English (US)",

volume = "152",

pages = "259--280",

journal = "Annali di Matematica Pura ed Applicata",

issn = "0373-3114",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - A density-dependent diffusion system with stable discontinuous stationary solutions

AU - Aronson, D. G.

AU - Tesei, A.

AU - Weinberger, Hans F

PY - 1988/12/1

Y1 - 1988/12/1

N2 - We study stationary solutions of a parabolic system arising in population dynamics. An uncountable infinity of such solutions exists. Solutions belonging to a certain class are shown to be stable in a suitable sense.

AB - We study stationary solutions of a parabolic system arising in population dynamics. An uncountable infinity of such solutions exists. Solutions belonging to a certain class are shown to be stable in a suitable sense.

UR - http://www.scopus.com/inward/record.url?scp=0011403472&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011403472&partnerID=8YFLogxK

U2 - 10.1007/BF01766153

DO - 10.1007/BF01766153

M3 - Article

AN - SCOPUS:0011403472

SN - 0373-3114

VL - 152

SP - 259

EP - 280

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

IS - 1

ER -

A density-dependent diffusion system with stable discontinuous stationary solutions

Abstract

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this