Research Article

A Strongly Ill-Posed Problem for the Equation

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

Denklemi için Bir Kuvvetli Kötü Konulmuş Problem

Öz

Bu çalışmada eliptik denklem için Hadamard anlamında kuvvetli kötü konulmuş olan bir ters problem ele alınmıştır. Bu problemin çözümünün tekliği Carleman değerlendirmeleri yardımıyla ispatlanmıştır.

Anahtar Kelimeler

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 1970 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

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