The Cauchy problem and Hadamard's example

Authors

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.

Downloads

Published

24-05-2013

Issue

Vol. 1 No. 2 (2013)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a  Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

 

  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal''s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

 

  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See  The Effect of Open Access).

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