Research Article

A Strongly Ill-Posed Problem for the Equation

Volume: 39 Number: 3 September 30, 2018
TR EN

A Strongly Ill-Posed Problem for the Equation

Abstract

In this work, we consider an inverse problem for an elliptic equation which is strongly ill-posed in Hadamard sense. We prove the uniqueness of the solution of the problem by using Carleman estimates.

Keywords

References

  1. [1]. Amirov, A. Kh., Integral Geometry and Inverse Problems for Kinetic Equations. Utrecht, The Netherlands: VSP, 2001.
  2. [2]. Gölgeleyen, F. and Yamamoto, M., An inverse problem for the Vlasov–Poisson system. Journal of Inverse and Ill-posed Problems, 23-4 (2015) 363-372.
  3. [3]. Gölgeleyen, I., An integral geometry problem along geodesics and a computational approach. An. Univ.“Ovidius” Constanţa, Ser. Mat, 18-2 (2010) 91-112.
  4. [4]. Lavrent’ev, M. M., Some Improperly Posed Problems of Mathematical Physics. New York: Springer-Verlag, 1967.
  5. [5]. Lavrent’ev, M. M., Romanov, V. G. and Shishatskii, S. P., Ill-Posed Problems of Mathematical Physics and Analysis. Providence: American Mathematical Society, 1986.
  6. [6]. Mikhailov, V.P., Partial Differential Equations. 2nd ed. Moscow: Mir Publishers, 1978.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

September 30, 2018

Submission Date

August 1, 2018

Acceptance Date

September 11, 2018

Published in Issue

Year 2018 Volume: 39 Number: 3

APA
Yıldız, M. (2018). A Strongly Ill-Posed Problem for the Equation. Cumhuriyet Science Journal, 39(3), 565-572. https://doi.org/10.17776/csj.450207
AMA
1.Yıldız M. A Strongly Ill-Posed Problem for the Equation. CSJ. 2018;39(3):565-572. doi:10.17776/csj.450207
Chicago
Yıldız, Mustafa. 2018. “A Strongly Ill-Posed Problem for the Equation”. Cumhuriyet Science Journal 39 (3): 565-72. https://doi.org/10.17776/csj.450207.
EndNote
Yıldız M (September 1, 2018) A Strongly Ill-Posed Problem for the Equation. Cumhuriyet Science Journal 39 3 565–572.
IEEE
[1]M. Yıldız, “A Strongly Ill-Posed Problem for the Equation”, CSJ, vol. 39, no. 3, pp. 565–572, Sept. 2018, doi: 10.17776/csj.450207.
ISNAD
Yıldız, Mustafa. “A Strongly Ill-Posed Problem for the Equation”. Cumhuriyet Science Journal 39/3 (September 1, 2018): 565-572. https://doi.org/10.17776/csj.450207.
JAMA
1.Yıldız M. A Strongly Ill-Posed Problem for the Equation. CSJ. 2018;39:565–572.
MLA
Yıldız, Mustafa. “A Strongly Ill-Posed Problem for the Equation”. Cumhuriyet Science Journal, vol. 39, no. 3, Sept. 2018, pp. 565-72, doi:10.17776/csj.450207.
Vancouver
1.Mustafa Yıldız. A Strongly Ill-Posed Problem for the Equation. CSJ. 2018 Sep. 1;39(3):565-72. doi:10.17776/csj.450207

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