Existence and properties of traveling waves for doubly nonlocal Fisher-KPP equations

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dc.contributor.authorFinkelshtein, Dmitri
dc.contributor.authorKondratiev, Yuri
dc.contributor.authorTkachov, Pasha
dc.date.accessioned2021-10-13T21:10:48Z
dc.date.available2021-10-13T21:10:48Z
dc.date.issued2019-01-22
dc.description.abstractWe consider a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions in a space of bounded functions on Rd. Using the properties of the corresponding semiflow, we prove the existence of monotone traveling waves along those directions where the diffusion kernel is exponentially integrable. Among other properties, we prove continuity, strict monotonicity and exponential integrability of the traveling wave profiles.
dc.description.departmentMathematics
dc.formatText
dc.format.extent27 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFinkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Existence and properties of traveling waves for doubly nonlocal Fisher-KPP equations. <i>Electronic Journal of Differential Equations, 2019</i>(10), pp. 1-27.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14653
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNonlocal diffusion
dc.subjectReaction-diffusion equation
dc.subjectFisher-KPP equation
dc.subjectTraveling waves
dc.subjectNonlocal nonlinearity
dc.subjectAnisotropic kernels
dc.subjectIntegral equation
dc.titleExistence and properties of traveling waves for doubly nonlocal Fisher-KPP equations
dc.typeArticle

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