Entire solutions of the Fisher–KPP equation on the half line
2019 ◽
Vol 31
(3)
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pp. 407-422
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Keyword(s):
In this paper, we study the entire solutions of the Fisher–KPP (Kolmogorov–Petrovsky–Piskunov) equation ut = uxx + f(u) on the half line [0, ∞) with Dirichlet boundary condition at x = 0. (1) For any $c \ge 2\sqrt {f'(0)} $, we show the existence of an entire solution ${{\cal U}^c}(x,t)$ which connects the traveling wave solution φc(x + ct) at t = −∞ and the unique positive stationary solution V(x) at t = +∞; (2) We also construct an entire solution ${{\cal U}}(x,t)$ which connects the solution of ηt = f(η) at t = −∞ and V(x) at t = +∞.
2014 ◽
Vol 22
(1)
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pp. 143-173
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2007 ◽
Vol 8
(6)
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pp. 1115-1150
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Keyword(s):
2015 ◽
Vol 28
(2)
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pp. 389-417
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2018 ◽
Vol 20
(3)
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pp. 333-345
2021 ◽
Vol 31
(5)
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pp. 053120
Keyword(s):