Avetik Arakelyan, Farid Bozorgnia
Abstract:
We prove a uniqueness for the positive solution to a strongly competing
system of Lotka-Volterra type problem in the limiting configuration,
when the competition rate tends to infinity. We give an alternate proof
of uniqueness based on properties of limiting solutions.
Submitted October 20, 2016. Published April 5, 2017.
Math Subject Classifications: 35J57, 35R35.
Key Words: Spatial segregation; free boundary problems; maximum principle
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Avetik Arakelyan Institute of Mathematics NAS of Armenia 0019 Yerevan, Armenia email: arakelyanavetik@gmail.com | |
Farid Bozorgnia Department of Mathematics Inst. Superior Técnico 1049-001 Lisbon, Portugal email: bozorg@math.ist.utl.pt |
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