The Cauchy boundary value problems on closed piecewise smooth manifolds in Cn

Acta Mathematica Sinica, English Series

Volumn 20, Issue 6, 2004, Pages 989-998

  Lin, Liang Yu ^a   Qiu, Chun Hui ^b  

^a XIAMEN UNIVERSITY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Bochner Martinelli kernel; Boundary value problem; Hadamard principal value; Plemelj formula

Indexed keywords

EID: 11944249935     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-004-0387-2     Document Type: Article

References (12)

1. Hadamard, J.: Lectures on Cauchy's Problem in Linear Partial Differential Equations, New York, 1952
2. Fox, C.: A generalization of the Cauchy principal value. Canadian J. Math., 9, 110-117 (1957)
3. Gong, S.: Integrals of Cauchy-type on the Ball, Boston, International Press, 1993
4. Qian, T., Zhong, T. D.: The differential integral equations on a smooth closed orientable manifold. Acta Math. Sci., 21B(1), 1-8 (2001)
5. Wang, X. Q.: Singular integrals and analyticity theorems in several complex variables, Doctoral Dissertation, Uppsala Univ., Sweden, 1990
6. Lu, Q. K., Zhong, T. D.: An extension of the Privalov theorem. Acta Math Sin., 7, 144-165 (1957) (in Chinese)
7. Zhong, T. D.: Singular integrals and integral representations in several complex variables. Contemporary Mathematics, American Mathematical Society, 142, 151-173 (1993)
8. Kytmanov, A. M.: Bochner-Martinelli Integral and its Applications, Science Press, Siberia, 1992 (in Russian)
9. Wang, Y.: Encyclopaedia of Mathematics Sciences, Science Press, Beijing, 1, 378-379 (1994)
10. Lin, L. Y.: The boundary character of Cauchy-type on a closed piecewise smooth manifold. Acta Math. Sin., 31, 547-557 (1988) (in Chinese)
11. Range, R. M., Siu, Y. T.: Uniform estimates for the ∂-equation on domains with piecewise smooth strictly pseudoconvex boundaries. Math. Ann., 206, 325-354 (1973)
12. Jin, F. L., Li, X. J., et al.: Constant Differential Equation, Shanghai Science and Technology Press, Shanghai, (in Chinese), 1984