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On integral conditions for the general Beltrami equations

Complex Variables 2010-02-18 v2 Analysis of PDEs

Abstract

Under integral restrictions on dilatations, it is proved existence theorems for the degenerate Beltrami equations with two characteristics and, in particular, to the Beltrami equations of the second type that play a great role in many problems of mathematical physics and to the so--called reduced Beltrami equations that also have significant applications.

Keywords

Cite

@article{arxiv.1001.3524,
  title  = {On integral conditions for the general Beltrami equations},
  author = {B. Bojarski and V. Gutlyanskii and V. Ryazanov},
  journal= {arXiv preprint arXiv:1001.3524},
  year   = {2010}
}

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10 pages