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Estimates for the parametrix of the Kohn Laplacian on certain domains. (English) Zbl 0651.35017

The fundamental solution of the Kohn Laplacian on certain pseudoconvex domains where the Levi form has at most one degenerate eigenvalue is estimated. The estimates involve two nonequivalent metrics. Some derivatives of the fundamental solution involve only one of these metrics, others only the other metric.
Reviewer: M.Machedon

MSC:

35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35A08 Fundamental solutions to PDEs
32T99 Pseudoconvex domains
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References:

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