Abstract
This article is concerned with a free boundary problem for semilinear parabolic equations, which describes the habitat segregation phenomenon in population ecology. The main purpose is to show the global existence, uniqueness, regularity and asymptotic behavior of solutions for the problem. The asymptotic stability or instability of each solution is completely determined using the comparison theorem.
| Original language | English |
|---|---|
| Pages (from-to) | 151-186 |
| Number of pages | 36 |
| Journal | Japan Journal of Applied Mathematics |
| Volume | 2 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1985 Jun |
| Externally published | Yes |
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Keywords
- asymptotic stability
- comparison theorems
- evolution equations
- free boundary problems
- population dynamics
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics
Cite this
A free boundary problem in ecology. / Mimura, Masayasu; Yamada, Yoshio; Yotsutani, Shoji.
In: Japan Journal of Applied Mathematics, Vol. 2, No. 1, 06.1985, p. 151-186.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A free boundary problem in ecology
AU - Mimura, Masayasu
AU - Yamada, Yoshio
AU - Yotsutani, Shoji
PY - 1985/6
Y1 - 1985/6
N2 - This article is concerned with a free boundary problem for semilinear parabolic equations, which describes the habitat segregation phenomenon in population ecology. The main purpose is to show the global existence, uniqueness, regularity and asymptotic behavior of solutions for the problem. The asymptotic stability or instability of each solution is completely determined using the comparison theorem.
AB - This article is concerned with a free boundary problem for semilinear parabolic equations, which describes the habitat segregation phenomenon in population ecology. The main purpose is to show the global existence, uniqueness, regularity and asymptotic behavior of solutions for the problem. The asymptotic stability or instability of each solution is completely determined using the comparison theorem.
KW - asymptotic stability
KW - comparison theorems
KW - evolution equations
KW - free boundary problems
KW - population dynamics
UR - http://www.scopus.com/inward/record.url?scp=0000173727&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000173727&partnerID=8YFLogxK
U2 - 10.1007/BF03167042
DO - 10.1007/BF03167042
M3 - Article
AN - SCOPUS:0000173727
VL - 2
SP - 151
EP - 186
JO - Japan Journal of Industrial and Applied Mathematics
JF - Japan Journal of Industrial and Applied Mathematics
SN - 0916-7005
IS - 1
ER -