The Cauchy problem and Hadamard's example

Authors

  • Oleg Yaremko

    Penza State University

  • Elena Sergeevna Mogileva

    Penza State University

How to Cite

Yaremko, O., & Mogileva, E. S. (2013). The Cauchy problem and Hadamard’s example. Global Journal of Mathematical Analysis, 1(2), 48-52. https://doi.org/10.14419/gjma.v1i2.876

Received date: April 27, 2013

Accepted date: May 16, 2013

Published date: May 24, 2013

DOI:

https://doi.org/10.14419/gjma.v1i2.876

Abstract

Integral representation for harmonic function  in the ring. We prove the existence and uniqueness of solutions of the Cauchy problem for the Laplace equation in the circle. Integral representation for the solution of the Cauchy problem was found.

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How to Cite

Yaremko, O., & Mogileva, E. S. (2013). The Cauchy problem and Hadamard’s example. Global Journal of Mathematical Analysis, 1(2), 48-52. https://doi.org/10.14419/gjma.v1i2.876

Received date: April 27, 2013

Accepted date: May 16, 2013

Published date: May 24, 2013