Abstract
Abstract In this paper we deal with a class of inverse problems for an operator-valued mapping in a Banach space, which is usually associated with a compact operator equation. Our aim is to remove the restriction of compactness. The existence, uniqueness and stability of the solution of the inverse problem are shown. The results obtained here are applied to an inverse problem for the transport equation in an inhomogeneous medium. An example is given to illustrate the relationship between stability and topology.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
