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Convergence to equilibrium for a parabolic problem with mixed boundary conditions in one space dimension

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Nonlinear Evolution Equations and Related Topics

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Abstract

We prove that any bounded non-negative solution of a degenerate parabolic problem with Neumann or mixed boundary conditions converges to a stationary solution.

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Author information

Authors and Affiliations

  1. ICM Warsaw University, al. Żwirlci wigury 93, 02-089, Warsaw, Poland

    Maria Gokieli

  2. Département de Mathématiques, Université de Henri Poincaré-Nancy 1, BP 239, vandoeuvre les Nancy Cedex, 54506, France

    Frédérique Simondon

Authors
  1. Maria Gokieli
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  2. Frédérique Simondon
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Editor information

Editors and Affiliations

  1. Department of Applied Analysis, University of Ulm, 89069, Ulm, Germany

    Wolfgang Arendt

  2. Analyse Numérique, Université Pierre et Marie Curie, B.C. 187, 4, place Jussieu, 75252, Paris Cedex 05, France

    Haïm Brézis

  3. Department of Mathematics Hill Center, Busch Campus, Rutgers University, 110 Frelinghuysen RD, Piscataway, NJ, 08854, USA

    Haïm Brézis

  4. Campus de Ker Lann, Antenne de Bretagne de l’ENS Cachan, 35170, Bruz, France

    Michel Pierre

Additional information

Dedicated to the memory of Philippe Benilan

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Gokieli, M., Simondon, F. (2004). Convergence to equilibrium for a parabolic problem with mixed boundary conditions in one space dimension. In: Arendt, W., Brézis, H., Pierre, M. (eds) Nonlinear Evolution Equations and Related Topics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7924-8_28

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  • DOI: https://doi.org/10.1007/978-3-0348-7924-8_28

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-7107-4

  • Online ISBN: 978-3-0348-7924-8

  • eBook Packages: Springer Book Archive

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