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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 270, Pages 177–187 (Mi tm3024)  
Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems

J.-P. Lohéacabc

a Département Mathématiques et Informatique, Ècole Centrale de Lyon, Université de Lyon, Écully cedex, France
b Laboratoire J.-V. Poncelet (CNRS UMI 2615), Independent University of Moscow, Moscow, Russia
c Institut Camille Jordan (UMR 5208 du CNRS), Université Claude Bernard Lyon 1, Villeurbanne cedex, France
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Abstract: For elliptic partial differential equations, mixed boundary conditions generate singularities in the solution, mainly when the boundary of the domain is connected. We here consider two classical cases: the Laplace equation and the Lamé system. The knowledge of singularities allows us to construct adapted Rellich relations. These are useful in the problem of boundary stabilization of the wave equation and the elastodynamic system, respectively, when using the multiplier method.
Received in February 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 270, Pages 172–183
DOI: https://doi.org/10.1134/S0081543810030132
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Citation: J.-P. Lohéac, “Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 270, MAIK Nauka/Interperiodica, Moscow, 2010, 177–187; Proc. Steklov Inst. Math., 270 (2010), 172–183
Citation in format AMSBIB
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\paper Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems
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\pages 177--187
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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