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Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov’s equation

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An Erratum to this article was published on 19 October 2010

Abstract.

We study the existence of fast and heteroclinic solutions of an ODE that arises in connection with travelling wave solutions of Fisher-Kolmogorov’s equation. They are obtained by solving a minimum or constrained minimum problem. A variational characterization of the minimum speed for which heteroclinic solutions exist is obtained.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad de Granada, 18071, Granada, Spain

    M. Arias, J. Campos, A. M. Robles-Pérez & L. Sanchez

Authors
  1. M. Arias
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  2. J. Campos
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  3. A. M. Robles-Pérez
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  4. L. Sanchez
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Corresponding author

Correspondence to M. Arias.

Additional information

Received: 14 November 2003, Accepted: 29 January 2004, Published online: 2 April 2004

M. Arias: Supported by MCYT, Acción Integrada HP2000-0039, Spain

J. Campos: Supported by MCYT, BFM2002-01308 and Acción Integrada HP2000-0039, Spain

A.M. Robles-Pérez: Supported by Acção Integrada E-15/01 and Fundaçâo para a Ciência e a Tecnologia, Portugal

An erratum to this article is available at http://dx.doi.org/10.1007/s00526-010-0368-5.

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Arias, M., Campos, J., Robles-Pérez, A.M. et al. Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov’s equation. Cal Var 21, 319–334 (2004). https://doi.org/10.1007/s00526-004-0264-y

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  • DOI: https://doi.org/10.1007/s00526-004-0264-y

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