Displaying similar documents to “Eigenfunctions of the Laplace operators for buildings of type B ~ 2

Wave equation with a concentrated moving source

Vladimír B. Kameń (1991)

Applications of Mathematics

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A tempered distribution which is an exact solution of the wave equation with a concentrated moving source on the right-hand side, is obtained in the paper by means of the Cagniard - de Hoop method.

On a 3D-Hypersingular Equation of a Problem for a Crack

Samko, Stefan (2011)

Fractional Calculus and Applied Analysis

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MSC 2010: 45DB05, 45E05, 78A45 We show that a certain axisymmetric hypersingular integral equation arising in problems of cracks in the elasticity theory may be explicitly solved in the case where the crack occupies a plane circle. We give three different forms of the resolving formula. Two of them involve regular kernels, while the third one involves a singular kernel, but requires less regularity assumptions on the the right-hand side of the equation.