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Reference: F. Sánchez-Garduño, E. Kappos and P. K. Maini, (1996). A shooting argument approach to a sharp type solution for nonlinear degenerate Fisher-KPP equations.Citable link to this page:

 

A shooting argument approach to a sharp type solution for nonlinear degenerate Fisher-KPP equations

Abstract: In this paper we prove the existence and uniqueness of a travelling-wave solution of sharp type for the degenerate (at u = 0) parabolic equation $u_1 = [D(u)u_x]_x + g(u)$ where D is a strictly increasing function and g is a function which generalizes the kinetic part of the classical Fisher-KPP equation. The original problem is transformed into the proper travelling-wave variables, and then a shooting argument is used to show the existence of a saddle-saddle heteroclinic trajectory for a critical value, c*>0, of the speed c of an autonomous system of ordinary differential equations. Associated with this connection is a sharp-type solution of the nonlinear partial differential equation.

Bibliographic Details

Issue Date: 1996Identifiers

Urn: uuid:fb7fc28e-f91c-4254-a2e8-be4392ddcfd1 Item Description

Type: Article;

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Author: F. Sánchez-Garduño - - - E. Kappos - - - P. K. Maini - - - - Bibliographic Details Issue Date: 1996 - Identifiers Urn: uuid:fb7

Source: https://ora.ox.ac.uk/objects/uuid:fb7fc28e-f91c-4254-a2e8-be4392ddcfd1



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