Doubly nonlocal Fisher-KPP equation: front propagation

Finkelshtein D, Kondratiev Y, Tkachov P (2019)
Applicable Analysis .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck| Englisch
 
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Autor/in
Finkelshtein, Dmitri; Kondratiev, YuriUniBi; Tkachov, Pasha
Abstract / Bemerkung
We study propagation over of the solution to a doubly nonlocal reaction-diffusion equation of the Fisher-KPP-type with anisotropic kernels. We present both necessary and sufficient conditions which ensure linear in time propagation of the solution in a direction. For kernels with a finite exponential moment over we prove front propagation in all directions for a general class of initial conditions decaying in all directions faster than any exponential function (that includes, for the first time in the literature about the considered type of equations, compactly supported initial conditions).
Stichworte
Nonlocal diffusion; Fisher-KPP equation; nonlocal nonlinearity; long-time behavior; front propagation; anisotropic kernels; integral; equation
Erscheinungsjahr
2019
Zeitschriftentitel
Applicable Analysis
ISSN
0003-6811
eISSN
1563-504X
Page URI
https://pub.uni-bielefeld.de/record/2936934

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Finkelshtein D, Kondratiev Y, Tkachov P. Doubly nonlocal Fisher-KPP equation: front propagation. Applicable Analysis . 2019.
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Doubly nonlocal Fisher-KPP equation: front propagation. Applicable Analysis . doi:10.1080/00036811.2019.1643011
Finkelshtein, D., Kondratiev, Y., and Tkachov, P. (2019). Doubly nonlocal Fisher-KPP equation: front propagation. Applicable Analysis .
Finkelshtein, D., Kondratiev, Y., & Tkachov, P., 2019. Doubly nonlocal Fisher-KPP equation: front propagation. Applicable Analysis .
D. Finkelshtein, Y. Kondratiev, and P. Tkachov, “Doubly nonlocal Fisher-KPP equation: front propagation”, Applicable Analysis , 2019.
Finkelshtein, D., Kondratiev, Y., Tkachov, P.: Doubly nonlocal Fisher-KPP equation: front propagation. Applicable Analysis . (2019).
Finkelshtein, Dmitri, Kondratiev, Yuri, and Tkachov, Pasha. “Doubly nonlocal Fisher-KPP equation: front propagation”. Applicable Analysis (2019).