An iterative method for a Cauchy problem for the heat equation
2006 (English)In: IMA Journal of Applied Mathematics, ISSN 0272-4960, Vol. 71, no 2, 262-286 p.Article in journal (Refereed) Published
An iterative method for reconstruction of the solution to a parabolic initial boundary value problem of second order from Cauchy data is presented. The data are given on a part of the boundary. At each iteration step, a series of well-posed mixed boundary value problems are solved for the parabolic operator and its adjoint. The convergence proof of this method in a weighted L2-space is included. © 2006. Oxford University Press.
Place, publisher, year, edition, pages
2006. Vol. 71, no 2, 262-286 p.
Cauchy problem, Heat equation, Iterative regularization method, Mixed problem, Weighted Sobolev space
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-50241DOI: 10.1093/imamat/hxh093OAI: oai:DiVA.org:liu-50241DiVA: diva2:271137