Abstract
The purpose of this paper is threefold. (i) To explain the effective Kohn algorithm for multipliers in the complex Neumann problem and its difference with the full-real-radical Kohn algorithm, especially in the context of an example of Catlin-D’Angelo concerning the ineffectiveness of the latter. (ii) To extend the techniques of multiplier ideal sheaves for the complex Neumann problem to general systems of partial differential equations. (iii) To present a new procedure of generation of multipliers in the complex Neumann problem as a special case of the multiplier ideal sheaves techniques for general systems of partial differential equations.
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In memory of Professor LU QiKeng (1927–2015)
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Siu, YT. New procedure to generate multipliers in complex Neumann problem and effective Kohn algorithm. Sci. China Math. 60, 1101–1128 (2017). https://doi.org/10.1007/s11425-017-9081-5
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DOI: https://doi.org/10.1007/s11425-017-9081-5
Keywords
- multiplier ideal sheaves
- complex Neumann problem
- d-bar estimates
- weakly pseudoconvex domains
- Kohn’s algorithm for multipliers
- domains of finite type