ArticleOriginal scientific text

Title

A boundary value problem for Beltrami differential equation

Authors 1

Affiliations

  1. Department of Mathematics, Okayama University of Science, 1-1 Ridai-cho Okayama, 700, Japan

Abstract

Solutions to Beltrami differential equation with prescribed boundary correspondence in some plane domains are given.

Bibliography

  1. L.V. Ahlfors, Conformality with respect to Riemannian metrics, Ann. Acad. Sci. Fenn. A I 206 (1955), 1-22.
  2. L.V. Ahlfors, Lectures on quasiconformal mappings, Van Nostrand, Princeton, Toronto, New York, London 1966.
  3. M. Gerstenhaber and H.E. Rauch, On quasiconformal mappings I, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 808-812.
  4. M. D. Pompeiu, Sur une classe de fonctions d'une variable complexe et certaines équations intégrales, Rend. Circ. Mat. Palermo 35 (1913), 277-281.
  5. L. Schwartz, Théorie des distributions, tome I, Hermann, Paris 1950.
Pages:
29-34
Main language of publication
English
Published
1996
Exact and natural sciences