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Application of the fundamental principle to complex Cauchy problem

Stéphane Rigat Centre de Mathématiques et d'Informatique, LATP UMR 6632

TBD mathscidoc:1701.332947

Arkiv for Matematik, 38, (2), 355-380, 1999.3
In this paper we give an explicit formula for the solution of the non-homogeneous complex Cauchy problem with Cauchy data given on a bounded smooth strictly convex domain in a non-characteristic hyperplane. These formulas are obtained using the explicit version of the fundamental principle given in terms of residue currents; moreover, we characterize the domain of definition of the solution and we generalize these techniques to the non-homogeneous Goursat problem.
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@inproceedings{stéphane1999application,
  title={Application of the fundamental principle to complex Cauchy problem},
  author={Stéphane Rigat},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203600048778756},
  booktitle={Arkiv for Matematik},
  volume={38},
  number={2},
  pages={355-380},
  year={1999},
}
Stéphane Rigat. Application of the fundamental principle to complex Cauchy problem. 1999. Vol. 38. In Arkiv for Matematik. pp.355-380. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203600048778756.
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