Abstract
The authors investigate the problem of recovering the initial states of distributed parameter systems, governed by linear parabolic partial differential equations, from finite approximate data. It is shown that an approximation of the true initial state can be obtained from the solution of an appropriate finite-dimensional algebraic linear system and that this approximation depends continuously on the observed data. Error estimates are also obtained.
Sign-in/Register to access full text options 
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.
