Inverse Problem for a Parabolic Equation with Integral Condition

Authors

  • Elvin Ibrahim Azizbayov Baku State University
  • Yashar Mehraliyev

Keywords:

inverse value problem, parabolic equation, classical solution, integral condition

Abstract

This paper is devoted to study of the nonlocal inverse boundary-value problem for a second-order parabolic equation. First, we introduce a definition of a classical solution of the stated problem. Then, the initial problem is reduced to an equivalent problem, for which using the method of contraction mappings principle the theorem of the existence and uniqueness of solutions is proved. Moreover, using the equivalency, we prove the existence and uniqueness of classical solution of the original problem.

Author Biography

  • Elvin Ibrahim Azizbayov, Baku State University
    Department of Computational Mathematics, Baku State University - Associate professor

Downloads

Published

2017-11-02

Issue

Vol. 10 No. 5: (October 2017)

Section

Differential Equations

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Inverse Problem for a Parabolic Equation with Integral Condition. (2017). European Journal of Pure and Applied Mathematics, 10(5), 981-994. https://www.ejpam.com/index.php/ejpam/article/view/3069