Traveling wave solutions to some reaction diffusion equations with fractional Laplacians

DOI10.1007/s00526-014-0785-yzbMath1326.35067OpenAlexW2016673525MaRDI QIDQ493179

Tingting Huan, Changfeng Gui

Publication date: 11 September 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0785-y

zbMATH Keywords

Fisher-KPP nonlinearitynonexistence of traveling fronts

Mathematics Subject Classification ID

Combustion (80A25) Integral operators (47G10) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32) Singular nonlinear integral equations (45G05) Traveling wave solutions (35C07) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

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Cites Work

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• Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian
• Existence and asymptotics of fronts in non local combustion models
• The influence of fractional diffusion in Fisher-KPP equations
• Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
• An Extension Problem Related to the Fractional Laplacian

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