Filtern
Volltext vorhanden
- ja (1) (entfernen)
Erscheinungsjahr
- 2006 (1) (entfernen)
Dokumenttyp
- Preprint (1)
Sprache
- Englisch (1)
Gehört zur Bibliographie
- nein (1)
Institut
We study the Cauchy problem for the oscillation equation of the couple-stress theory of elasticity in a bounded domain in R3. Both the displacement and stress are given on a part S of the boundary of the domain. This problem is densely solvable while data of compact support in the interior of S fail to belong to the range of the problem. Hence the problem is ill-posed which makes the standard calculi of Fourier integral operators inapplicable. If S is real analytic the Cauchy-Kovalevskaya theorem applies to guarantee the existence of a local solution. We invoke the special structure of the oscillation equation to derive explicit conditions of global solvability and an approximation solution.