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         "type" : "Publication",
         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/2f0232cdd8fe2c486d6b1dc4dd272c951/mhartmann",         
         "tags" : [
            "piezoelectricity,","boundary-transmission","elasticity","theory,","Elliptic","problems","vorlaeufig","potential","systems,"
         ],
         
         "intraHash" : "f0232cdd8fe2c486d6b1dc4dd272c951",
         "interHash" : "962a9ca8032fc89fea0d9f7026539fd0",
         "label" : "Solvability and regularity results to boundary-transmission problems\n\tfor metallic and piezoelectric elastic materials",
         "user" : "mhartmann",
         "description" : "",
         "date" : "2018-07-20 10:54:15",
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         "pub-type": "article",
         "journal": "Mathematische Nachrichten","publisher":"WILEY-VCH Verlag",
         "year": "2009", 
         "url": "http://dx.doi.org/10.1002/mana.200610790", 
         
         "author": [ 
            "T. Buchukuri","O. Chkadua","D. Natroshvili","A.-M. Sändig"
         ],
         "authors": [
         	
            	{"first" : "T.",	"last" : "Buchukuri"},
            	{"first" : "O.",	"last" : "Chkadua"},
            	{"first" : "D.",	"last" : "Natroshvili"},
            	{"first" : "A.-M.",	"last" : "Sändig"}
         ],
         "volume": "282","number": "8","pages": "1079--1110","abstract": "We investigate three-dimensional transmission problems related to\n\tthe interaction of metallic and piezoelectric ceramic bodies. We\n\tgive a mathematical formulation of the physical problem when the\n\tmetallic and ceramic sub-domains are bonded along some proper parts\n\tof their boundaries. The corresponding nonclassical mixed boundary-transmission\n\tproblem is reduced by the potential method to an equivalent nonselfadjoint\n\tstrongly elliptic system of pseudo-differential equations on manifolds\n\twith boundary. We investigate the solvability of this system in different\n\tfunction spaces. On the basis of these results we prove uniqueness\n\tand existence theorems for the original boundary-transmission problem.\n\tWe study also the regularity of the electrical and mechanical fields\n\tnear the curves where the boundary conditions change and where the\n\tinterfaces intersect the exterior boundary. The electrical and mechanical\n\tfields can be decomposed into singular and more regular terms near\n\tthese curves. A power of the distance from a reference point to the\n\tcorresponding edge-curves occurs in the singular terms and describes\n\tthe regularity explicitly. We compute these complex-valued exponents\n\tand demonstrate their dependence on the material parameters (� 2009\n\tWILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)",
         "issn" : "1522-2616",
         
         "doi" : "10.1002/mana.200610790",
         
         "bibtexKey": "buchukuri2009solvability"

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