Abstract
In this paper, a problem for stochastic elliptic equations containing Wiener process and non-local condition is considered. Initially, existence results are constructed under two different hypotheses for the input data. Next, the instability behavior of the mild solution is presented, which shows that the solution does not depend continuously on the given data. After that, a regularized solution is established and its convergence rate is described. Lastly, an illustrated example is shown to test the proposed method. Our article was inspired by recent papers by Tomás Caraballo and his colleagues on the ill-posed problem for stochastic PDEs.
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.
