Title of article
Similarity solutions for a multi-dimensional replicator dynamics equation Original Research Article
Author/Authors
Vassilis G. Papanicolaou، نويسنده , , George Smyrlis، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
12
From page
3185
To page
3196
Abstract
We construct a one-parameter family of self-similar solutions for a nonlinear degenerate multi-dimensional parabolic equation containing a nonlocal term. All these solutions are strictly positive and their integral over the whole space is 1. The equation serves as a replicator dynamics model where the set of strategies is a continuum.
Keywords
Replicator dynamics problem , Nonlinear degenerate parabolic PDE with a nonlocal term , self-similar solutions , Laplacian
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861438
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