JournalszaaVol. 16, No. 4pp. 945–960

A Nonlinear Beam Equation Arising in the Theory of Elastic Bodies

  • Karl Doppel

    Freie Universität Berlin, Germany
  • W. Herfort

    Freie Universität Berlin, Germany
  • K. Pflüger

    TU Wien, Austria
A Nonlinear Beam Equation Arising in the Theory of Elastic Bodies cover
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Abstract

We study the global solvability of a nonlinear Cauchy problem, which arises in the theory of oscillations in elastic bodies. We show that the linearized problem defines a contraction semigroup, which is then used to transform the Cauchy problem into an integral equation. Finally, it is shown that the corresponding integral operator has a unique fixed point, which gives rise to a global solution of the original nonlinear problem.

Cite this article

Karl Doppel, W. Herfort, K. Pflüger, A Nonlinear Beam Equation Arising in the Theory of Elastic Bodies. Z. Anal. Anwend. 16 (1997), no. 4, pp. 945–960

DOI 10.4171/ZAA/798