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Degenerate Diffusions pp 215–228Cite as

Asymptotic behaviour of nonlinear Parabolic Equations. Anomalous Exponents

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 47))

Abstract

In this lecture I will try to present a certain view of the progress achieved in recent years on the subject of asymptotic behaviour of nonlinear parabolic equations. This is an enormously rich field since we can play with the domain, the initial data, the boundary data and the form of the equation. Therefore, a selection of the topics to treat is necessary. Our interest will be centered around the stabilization of solutions to an equilibrium state, with special emphasis on the calculation of the characteristic exponents, namely the decay rate and the expansion rate.

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Author information

Authors and Affiliations

  1. División de Matemáticas, Universidad Autónoma de Madrid, Cantoblanco, Madrid, 28049, Spain

    Juan Luis Vazquez

Authors
  1. Juan Luis Vazquez
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Editor information

Editors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Wei-Ming Ni

  2. University of Leiden, P.O. Box 9512, 2300 RA, Leiden, The Netherlands

    L. A. Peletier

  3. Division de Matemáticas, Universidad Autonomade Madrid, Cantoblanco, 28049, Madrid, Spain

    J. L. Vazquez

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© 1993 Springer-Verlag Berlin Heidelberg

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Vazquez, J.L. (1993). Asymptotic behaviour of nonlinear Parabolic Equations. Anomalous Exponents. In: Ni, WM., Peletier, L.A., Vazquez, J.L. (eds) Degenerate Diffusions. The IMA Volumes in Mathematics and its Applications, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0885-3_15

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  • DOI: https://doi.org/10.1007/978-1-4612-0885-3_15

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6935-9

  • Online ISBN: 978-1-4612-0885-3

  • eBook Packages: Springer Book Archive

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