Boundary integral equations of elasticity in domains with piecewise smooth boundaries

Maz'ya, Vladimir G.

Displaying similar documents to “Boundary integral equations of elasticity in domains with piecewise smooth boundaries”

The boundary-value problems for Laplace equation and domains with nonsmooth boundary

Dagmar Medková (1998)

Archivum Mathematicum

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Dirichlet, Neumann and Robin problem for the Laplace equation is investigated on the open set with holes and nonsmooth boundary. The solutions are looked for in the form of a double layer potential and a single layer potential. The measure, the potential of which is a solution of the boundary-value problem, is constructed.

The solution of the third problem for the Laplace equation on planar domains with smooth boundary and inside cracks and modified jump conditions on cracks.

Medková, Dagmar (2006)

International Journal of Mathematics and Mathematical Sciences

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A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.

Krutitskii, P.A., Krutitskaya, N.Ch., Malysheva, G.Yu. (1999)

Mathematical Problems in Engineering

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The third boundary value problem in potential theory for domains with a piecewise smooth boundary

Dagmar Medková (1997)

Czechoslovak Mathematical Journal

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The paper investigates the third boundary value problem $\frac{\partial u}{\partial n} + λ u = μ$ for the Laplace equation by the means of the potential theory. The solution is sought in the form of the Newtonian potential (1), (2), where $ν$ is the unknown signed measure on the boundary. The boundary condition (4) is weakly characterized by a signed measure $T ν$ . Denote by $T ν \to T ν$ the corresponding operator on the space of signed measures on the boundary of the investigated domain $G$ . If there is $α \neq 0$ such that the essential spectral radius...