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Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics pp 415–424Cite as

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Quasilinear P.D.E.s with Memory Operators

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 55))

Abstract

In this note we deal with some models of memory, and in particular of hysteresis. Let us consider a system characterized by two scalar variables, u and w, and assume that at any instant t ∈ w(t)depends on the previous evolution of u (memory effect) and on the initial state, that is

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Trento, I-38050, Povo Trento, Italy

    Augusto Visintin

Authors
  1. Augusto Visintin
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Trento, via Sommarive 14, 38050, Povo, Trento, Italy

    Mimmo Iannelli

  2. Institute of Mathematics and Informatics, University of Mons-Hainaut, 20, place du Parc, 7000, Mons, Belgium

    Günter Lumer

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© 2003 Springer Basel AG

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Visintin, A. (2003). Quasilinear P.D.E.s with Memory Operators. In: Iannelli, M., Lumer, G. (eds) Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics. Progress in Nonlinear Differential Equations and Their Applications, vol 55. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8085-5_29

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  • DOI: https://doi.org/10.1007/978-3-0348-8085-5_29

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9433-3

  • Online ISBN: 978-3-0348-8085-5

  • eBook Packages: Springer Book Archive

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