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 |
Keywords
- asymptotic stability
- comparison theorems
- evolution equations
- free boundary problems
- population dynamics
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics
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Cite this
Mimura, M., Yamada, Y., & Yotsutani, S. (1985). A free boundary problem in ecology. Japan Journal of Applied Mathematics, 2(1), 151-186. https://doi.org/10.1007/BF03167042