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Higher Order Boundary Integral Formula and Integro-Differential Equation on Stein Mainfolds

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Abstract

This paper deals with the boundary value properties and the higher order singular integro-differential equation. On Stein manifolds, the Hadamard principal value, the Plemelj formula and the composite formula for higher order Bochner–Martinelli type integral are given. As an application, the composite formula is used for discussing the solution of the higher order singular integro-differential equation.

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Authors and Affiliations

  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, Fujian, People’s Republic of China

    Lüping Chen & Tongde Zhong

  2. Faculty of Science and Technology, The University of Macau, Macau, 3001, People’s Republic of China

    Tao Qian

Authors
  1. Lüping Chen
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  2. Tongde Zhong
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  3. Tao Qian
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Corresponding author

Correspondence to Lüping Chen.

Additional information

Communicated by John Fornaess.

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Chen, L., Zhong, T. & Qian, T. Higher Order Boundary Integral Formula and Integro-Differential Equation on Stein Mainfolds. Complex Anal. Oper. Theory 6, 447–464 (2012). https://doi.org/10.1007/s11785-011-0164-z

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  • DOI: https://doi.org/10.1007/s11785-011-0164-z

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