Analysis of Boundary-Domain Integral Equations for Variable Coefficient (The Case of Dirichelet Bvp in 2d)

dc.contributor.advisorG.Tsegaye (PhD)
dc.contributor.authorAschale Shitaye
dc.date.accessioned2018-07-18T06:21:20Z
dc.date.accessioned2023-11-04T12:32:15Z
dc.date.available2018-07-18T06:21:20Z
dc.date.available2023-11-04T12:32:15Z
dc.date.issued2017-06
dc.description.abstractUsing an appropriate parametrix (Levi function), Dirichlet boundary value problem is reduced to some direct segregated systems of Boundary- Domain Integral Equations (BDIEs). Although the theory of BDIEs in 3D is well developed, the BDIEs in 2D need a special consideration due to their different equivalence properties. Consequently, we need to set conditions on the domain or the spaces to insure the invertibility of corresponding parametrix-based integral layer potentials and hence the unique solubility of BDIEs. The properties of corresponding potential operators are investigated. The equivalence of the original BVP and the obtained BDIEs are analysed and the invertibility of the BDIE operators is proved.en_US
dc.identifier.urihttp://etd.aau.edu.et/handle/123456789/9107
dc.language.isoenen_US
dc.publisherAddis Ababa Universityen_US
dc.subjectAnalysis of Boundary-Domain Integralen_US
dc.subjectEquations for Variable Coefficienten_US
dc.titleAnalysis of Boundary-Domain Integral Equations for Variable Coefficient (The Case of Dirichelet Bvp in 2d)en_US
dc.typeThesisen_US

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