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Oscillations in Solutions to Nonlinear Differential Equations

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Oscillation Theory, Computation, and Methods of Compensated Compactness

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 2))

Abstract

We shall describe several aspects of a general program dealing with oscillations in solutions to nonlinear partial differential equations. The main problem is to describe the relationship between microscopic oscillations and their macroscopic averages, in terms of both the static structure and the dynamic behavior. One general framework is provided by the following setting.

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Author information

Authors and Affiliations

  1. Mathematics Department, University of California, Berkeley, California, 94720, USA

    Ronald J. DiPerna

Authors
  1. Ronald J. DiPerna
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Editor information

Editors and Affiliations

  1. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    Constantine Dafermos

  2. School of Mathematics and Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, 55455, USA

    J. L. Ericksen

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

    David Kinderlehrer

  4. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY, 12180, USA

    Marshall Slemrod

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© 1986 Springer-Verlag New York Inc.

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DiPerna, R.J. (1986). Oscillations in Solutions to Nonlinear Differential Equations. In: Dafermos, C., Ericksen, J.L., Kinderlehrer, D., Slemrod, M. (eds) Oscillation Theory, Computation, and Methods of Compensated Compactness. The IMA Volumes in Mathematics and Its Applications, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8689-6_2

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  • DOI: https://doi.org/10.1007/978-1-4613-8689-6_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8691-9

  • Online ISBN: 978-1-4613-8689-6

  • eBook Packages: Springer Book Archive

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