118
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Loaded differential equations and linear inverse problems for elliptic equations

&
Pages 910-928 | Received 10 Jun 2020, Accepted 30 Jun 2020, Published online: 25 Aug 2020

References

  • Kozhanov AI. Nonlinear loaded equations and inverse problems. Comput Math Math Phys. 2004;44(4):657–675.
  • Kozhanov AI. A nonlinear loaded parabolic equation and a related inverse problem. Math Notes. 2004;76(6):784–795.
  • Kozhanov AI, Safiullova RR. Linear inverse problems for parabolic and hyperbolic equations. J Inverse Ill–Posed Probl. 2010;18(1):1–18.
  • Pyatkov SG. On some classes of inverse problems with overdetermination data on spatial manifolds. Sib Math J. 2016;57(5):870–880.
  • Kozhanov AI. Inverse problems of recovering the right-hand side of special type in a parabolic equation. Mat Zametki North-Eastern Federal University. 2016;23(4):31–45.
  • Orlovskii DG. Inverse Dirichlet problem for an equation of elliptic type. Differ Equ. 2008;44:124–134.
  • Solov'ev VV. Inverse problems for equations of elliptic and parabolic types in Hölder's spaces [Russian]. Moscow: MIFI; 2014. (Diss. Dokt. Fiz.-Mat. Nauk.).
  • Pyatkov SG. On some inverse problems for elliptic equations and systems. J Appl Ind Math. 2011;5(3):417–430.
  • Lyubanova ASh. On an inverse problem for quasi–linear elliptic equation. J Sib Federal Univ Math Phys. 2015;8(1):38–48.
  • Lee D-S. An inverse problem for an elliptic equation. Appl Anal. 2016;95(4):919–929.
  • Dzhenaliev MT. To the theory of linear boundary value problems for loaded differential equations [Russian]. Almaty: Kompyut. Tsentr ITPM; 1995.
  • Nakhushev AM. Loaded equations and their applications [Russian]. Moscow: Nauka; 2012.
  • Sobolev SL. Some applications of functional analysis in mathematical physics. Providence: Amer. Math. Soc.; 1991.
  • Ladyzhenskaya OA, Uraltseva NN. Linear and quasilinear elliptic equations. New York and London: Academic Press; 1968.
  • Trenogin VA. Functional analysis [Russian]. Moscow: Nauka; 1980.
  • Utkina EA. The Dirichlet problem for a fourth order equation. Differ Uravn. 2011;47(4):400–404.
  • Zhegalov VI, Mironov AN, Utkina EA. Equations with dominating partial derivative. Kazan: Kazan Federal Univ.; 2014.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.