TY  - INPR
A1  - Makhmudov, O.
A1  - Niyozov, I.
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - The cauchy problem of couple-stress elasticity
N2  - 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.
T3  - Preprint - (2006) 03 
Y1  - 2009
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2841
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-30078
ER  -