### Decomposition of special Jacobi sets

Mohammad Hailat (1991)

Fundamenta Mathematicae

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Mohammad Hailat (1991)

Fundamenta Mathematicae

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D. Iglesias-Ponte, J. C. Marrero (2002)

Extracta Mathematicae

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Kruglikov, Boris (2006)

Lobachevskii Journal of Mathematics

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Deeba, E.Y., Koh, E.L. (1985)

International Journal of Mathematics and Mathematical Sciences

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Benoît Perthame, Stephane Génieys (2010)

Mathematical Modelling of Natural Phenomena

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The nonlocal Fisher equation has been proposed as a simple model exhibiting Turing instability and the interpretation refers to adaptive evolution. By analogy with other formalisms used in adaptive dynamics, it is expected that concentration phenomena (like convergence to a sum of Dirac masses) will happen in the limit of small mutations. In the present work we study this asymptotics by using a change of variables that leads to a constrained Hamilton-Jacobi equation. We prove the convergence...