Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations

In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations: The characterizations of these sets involve two new notions of generalized principal eigenvalues for linear parabolic operators in unbounded do...

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Bibliographic Details
Main Authors: Berestycki, Henri, Nadin, Grégoire
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2022
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Asymptotic theory
Differential equations, Parabolic
Reaction-diffusion equations
linear parabolic operator
slowly oscillating media
Hamilton-Jacobi equations
homogenization
heterogeneous reaction-diffusion equations
unique ergodicity
Reaction-diffusion equations
propagation and spreading properties
principal eigenvalues
almost periodicity
ISBN:9781470454296, 1470454297
ISSN:0065-9266, 1947-6221
Online Access:Get full text
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Summary:In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations: The characterizations of these sets involve two new notions of generalized principal eigenvalues for linear parabolic operators in unbounded domains. In particular, it allows us to show that
Bibliography:November 2022, volume 280, number 1381 (fourth of 8 numbers)
Includes bibliographical references (p. 95-100)
ISBN:9781470454296
1470454297
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1381