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Evolution Equations, Semigroups and Functional Analysis pp 197–216Cite as

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Hadamard Well-posedness of Weak Solutions in Nonlinear Dynamic Elasticity-full von Karman Systems

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 50))

Abstract

Dynamic systems of nonlinear elasticity described by von Karman equations, one of the fundamental equations in mathematical physics, have a long tradition in the literature [11, 5, 24, 33, 16, 15, 14, 8]. Their importance stems from the fact that many physical phenomena related to oscillation theory are described by dynamic elastic models. Propagation of waves, oscillations and vibrations of membranes, plates, shells, etc. are governed by nonlinear elastic systems involving wave and plate equations or combination thereof.

Research partially supported by the National Science Foundation under Grant DMS-0104305

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität Dortmund, D-44221, Dortmund, Germany

    Herbert Koch

  2. Department of Mathematics, University of Virginia, Kerchof Hall, P.O. Box 400137, Charlottesville, VA, 22904-4137, USA

    Irena Lasiecka

Authors
  1. Herbert Koch
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  2. Irena Lasiecka
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Editors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Milano, 20133, Milano, Italy

    Alfredo Lorenzi  & Bernhard Ruf  & 

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Koch, H., Lasiecka, I. (2002). Hadamard Well-posedness of Weak Solutions in Nonlinear Dynamic Elasticity-full von Karman Systems. In: Lorenzi, A., Ruf, B. (eds) Evolution Equations, Semigroups and Functional Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 50. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8221-7_11

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  • DOI: https://doi.org/10.1007/978-3-0348-8221-7_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9480-7

  • Online ISBN: 978-3-0348-8221-7

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