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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 4, Pages 54–63
DOI: https://doi.org/10.26907/0021-3446-2020-4-54-63 (Mi ivm9561) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Regularization of a nonstandard Cauchy problem for a dynamic Lame system

I. E. Niyozov

Samarkand State University, 15 Universitetskii blvd., Samarkand, 140104 Republic of Uzbekistan
Full-text PDF (369 kB) Citations (6)
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DOI: https://doi.org/10.26907/0021-3446-2020-4-54-63
Abstract: We consider a Cauchy problem for the dynamic systems Lame in a cylinder $G_T=D\times(0,T)$ over a domain $D$ in $R^3$ with data on a strip lying on the lateral surface. The strip is of the form $S\times(0,T)$, where $S-$ is an open subset of the boundary of $D$. The problem is ill-posed. Under natural restrictions on the configuration of $S$ we derive an explicit formula for solutions of this problem.
Keywords: Cauchy problem, system theory of elasticity, elliptic system, ill-posed problem.
Received: 15.03.2019
Revised: 15.03.2019
Accepted: 19.06.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 4, Pages 44–53
DOI: https://doi.org/10.3103/S1066369X20040052
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: I. E. Niyozov, “Regularization of a nonstandard Cauchy problem for a dynamic Lame system”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 4, 54–63; Russian Math. (Iz. VUZ), 64:4 (2020), 44–53
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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