Uniqueness and Asymptotics of Traveling Waves of Monostable Dynamics on Lattices

Authors :: Xinfu Chen
Jong-Shenq Guo
Sheng-Chen Fu
Source :: SIAM Journal on Mathematical Analysis. 38:233-258
Publication Year :: 2006
Publisher :: Society for Industrial & Applied Mathematics (SIAM), 2006.
Abstract: Established here is the uniquenes of solutions for the traveling wave problem cU � (x )= U (x+1)+U (x−1)−2U (x)+f (U (x)), x ∈ R, under the monostable nonlinearity: f ∈ C 1 ((0, 1)) ,f (0) = f (1) =0

Subjects :: Lattice dynamics
Computational Mathematics
Non linearite
Applied Mathematics
Mathematical analysis
Degenerate energy levels
Traveling wave
Uniqueness
Stability result
Asymptotic expansion
Analysis
Mathematics
Complement (set theory)

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