Totieva, Zhanna Dmitrievna The problem of determining the piezoelectric module of electroviscoelasticity equation. (English) Zbl 1516.35539 Math. Methods Appl. Sci. 41, No. 16, 6409-6421 (2018). Summary: We consider the problem of finding the piezoelectric module \(e(x_{3})\), \(x_{3}>0\), occurring in the system of integro-differential electroviscoelasticity equations. The medium density and the Lamé parameters are assumed to be function of one variable. The integrand \(K(t)\), \(t \in [0,T]\) is known. As additional information, the Fourier transform of the second component of the displacement vector function for \(x_{3}=0\) is specified. The theorems on the existence of a unique solution of the inverse problem and the stability theorem are the research results. Cited in 2 Documents MSC: 35R30 Inverse problems for PDEs 35R09 Integro-partial differential equations Keywords:delta function; inverse problem; kernel; piezoelectric module; stability PDFBibTeX XMLCite \textit{Z. D. Totieva}, Math. Methods Appl. Sci. 41, No. 16, 6409--6421 (2018; Zbl 1516.35539) Full Text: DOI