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.

The Establishment of Boundary Integral Equations by Generalized Functions

  • Received Date: 1985-05-07
  • Publish Date: 1986-06-15
  • By the theory of generalized functions this paper introduces a specific generalized function δθP, 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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