Holder estimates for the $\bar\partial$-equation on surfaces with simple singularities

F. Acosta; E. S. Zeron

Holder estimates for the $\bar\partial$-equation on surfaces with simple singularities

Complex Variables 2007-05-23 v2 Analysis of PDEs

Authors: F. Acosta , E. S. Zeron

Abstract

Let $\Sigma$ be a 2-dimensional subvariety in $C^3$ with an isolated simple (rational double point) singularity at the origin. The main objective of this paper is to solve the $\dbar$ -equation on a neighbourhood of the origin in $\Sigma$ , demanding a Holder condition on the solution.

Cite

@article{arxiv.math/0607502,
  title  = {Holder estimates for the $\bar\partial$-equation on surfaces with simple singularities},
  author = {F. Acosta and E. S. Zeron},
  journal= {arXiv preprint arXiv:math/0607502},
  year   = {2007}
}

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11 pages

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