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On quasilinear hyperbolic integrodifferential equations in unbounded domains

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1394)

Keywords

  • Weak Solution
  • Viscoelastic Material
  • Rest State
  • Unbounded Domain
  • Integrodifferential Equation

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References

  1. R. B. Bird, R. C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids. John Wiley, New York 1987.

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  2. H. Engler, Weak Solutions of a Class of Quasilinear Hyperbolic Integrodifferential Equations Describing Viscoelastic Materials. Arch. Rat. Mech. Anal., to appear.

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  3. H. Engler, Boundary Value Problems for Weak Solutions of a Class of Quasilinear Hyperbolic Integrodifferential Equations. In G. Da Prato, M. Ianelli (ed.), Volterra Integro-Differential Equations in Banach Spaces and Applications, Longman Group, London, to appear.

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  4. O.A. Ladyženskaja, V.A. Solonnikov, N.N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type. Amer. Math. Soc., Providence, R.I., 1968.

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  5. J. A. Nohel, R. C. Rogers, A. Tzavaras, Weak Solutions for a Nonlinear System in Viscoelasticity, M. R. C. Technical Summary Report # 2976, Madison, WI, 1987.

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  6. M. Renardy, W. J. Hrusa, J. A. Nohel, Mathematical Problems in Viscoelasticity. Longman Group, London, 1987.

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  7. T. P. Liu, Nonlinear Waves for Viscoelasticity with Fading Memory. Preprint, University of Maryland, College Park, MD, 1987.

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© 1989 Springer-Verlag

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Engler, H. (1989). On quasilinear hyperbolic integrodifferential equations in unbounded domains. In: Gill, T.L., Zachary, W.W. (eds) Nonlinear Semigroups, Partial Differential Equations and Attractors. Lecture Notes in Mathematics, vol 1394. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086751

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  • DOI: https://doi.org/10.1007/BFb0086751

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51594-4

  • Online ISBN: 978-3-540-46679-6

  • eBook Packages: Springer Book Archive