The Establishment of Boundary Integral Equations by Generalized Functions

Peng Xiao-lin; He Guang-qian

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Peng Xiao-lin, He Guang-qian. The Establishment of Boundary Integral Equations by Generalized Functions[J]. Applied Mathematics and Mechanics, 1986, 7(6): 497-504.

Citation:

Peng Xiao-lin, He Guang-qian. The Establishment of Boundary Integral Equations by Generalized Functions[J]. Applied Mathematics and Mechanics, 1986, 7(6): 497-504.

Citation:

Peng Xiao-lin, He Guang-qian. The Establishment of Boundary Integral Equations by Generalized Functions[J]. Applied Mathematics and Mechanics, 1986, 7(6): 497-504.

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The Establishment of Boundary Integral Equations by Generalized Functions

China Adademy of Building Research, Beijing

Received Date: 1985-05-07
Publish Date: 1986-06-15

Abstract

Abstract

By the theory of generalized functions this paper introduces a specific generalized function δθ_P, by which, together with its various derivatives, the boundary integral equations and its arbitrary derivatives of any sufficiently smooth function can be established. These equations have no non-integral singularities. For a problem defined by linear partial differential operators, the partial differential equations of the problem can always be converted into boundary integral equations so long as the relevant fundamental solutions exist.

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References(10)

References

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