Gegelia, Tengiz; Buchukuri, Tengiz Some dynamic problems of the theory of electroelasticity. (English) Zbl 0920.73344 Mem. Differ. Equ. Math. Phys. 10, 1-53 (1997). We investigate dynamic problems for homogeneous anisotropic electroelastic medium as well as associated problems of pseudo-oscillations. In particular, we prove existence and uniqueness theorems and establish asymptotic properties of solutions. The investigation is performed by employing the Laplace transform, the potential theory and the theory of singular integral equations. Cited in 7 Documents MSC: 74F15 Electromagnetic effects in solid mechanics 74B99 Elastic materials 74H99 Dynamical problems in solid mechanics 74G30 Uniqueness of solutions of equilibrium problems in solid mechanics 74H25 Uniqueness of solutions of dynamical problems in solid mechanics 35Q72 Other PDE from mechanics (MSC2000) Keywords:homogeneous anisotropic electroelastic medium; pseudo-oscillations; existence; asymptotic properties; Laplace transform; potential theory; theory of singular integral equations PDFBibTeX XMLCite \textit{T. Gegelia} and \textit{T. Buchukuri}, Mem. Differ. Equ. Math. Phys. 10, 1--53 (1997; Zbl 0920.73344) Full Text: EuDML EMIS