Advanced search
Publication Cover
Complex Variables and Elliptic Equations
An International Journal
Volume 66, 2021 - Issue 6-7: Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva
Submit an article Journal homepage
30
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Stability of the inverse problem for Dini continuous conductivities in the plane

Robert McOwenMathematics, Northeastern University, Boston, MA, USACorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-6424-2904
ORCID Icon &
Bindu K. VeetelMathematics, Northeastern University, Boston, MA, USA
Pages 1014-1036 | Received 21 Jun 2020, Accepted 22 Aug 2020, Published online: 13 Nov 2020

References

  • Astala K, Päivärinta L. Calderon's inverse conductivity problem in the plane. Ann Math. 2006;163:265–299. doi: 10.4007/annals.2006.163.265
  • Alessandrini G. Stable determination of conductivity by boundary measurements. Appl Anal. 1988;27(1–3):153–172. doi: 10.1080/00036818808839730
  • Barcelo T, Faraco D, Ruiz A. Stability of Calderón inverse conductivity problem in the plane. J Math Pures Appl. 2007;88:522–556. doi: 10.1016/j.matpur.2007.07.006
  • Stein E. Singular integrals and differentiability properties of functions. Princeton (NJ): Princeton University Press; 1970.
  • Calderon AP. On an inverse boundary value problem. In: Semiar on Numerical Analysis and its Applications to Continuum Physics. Rio de Janeiro: Soc. Bresileira de Matematica; 1980:65–73.
  • Astala K, Iwaniec T, Martin G. Elliptic partial differential equations and quasiconformal mappings in the plane. Princeton (NJ): Princeton University Press; 2009.
  • Taylor ME. Tools for PDE. Providence (RI): AMS; 2000. (Mathematical surveys and monographs; vol. 81).
  • Veetel B. On the regularity of solutions to the Beltrami equation in the plane. Complex Var Elliptic Equ. 2019;64:265–282. doi: 10.1080/17476933.2018.1427084
  • Sperner E. Schauder's existence theorem for α-Dini continuous data. Ark Mat. 1981;19(1):193–216. doi: 10.1007/BF02384477

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.