Abstract
We consider the problem of well‐posedness and regularity of solutions for a dynamic von Kármán plate which is clamped along one portion of the boundary and which experiences boundary damping through free edge conditions on the remainder of the boundary. We prove the existence of unique strong solutions for this system
Highlights
In this paper, we consider the well-posedness of the yon Kirmn system given by (1.1), where we assume fl C R with sufficiefftly smooth boundary F F0 U F1
Where we assume fl C R with sufficiefftly smooth boundary F F0 U F1
The well-posedness and regularity of such a system is both a delicate and interesting problem. Such results are important in solving the problem of stabilization for system (1.1)
Summary
We consider the well-posedness of the yon Kirmn system given by (1.1), where we assume fl C R with sufficiefftly smooth boundary F F0 U F1. The von Krmn nonlinearity poses many difficulties in obtaining the well-posedness and regularity results we seek. To handle these difficulties we adapt abstract results proven in [6] to our more difficult boundary conditions. After this we state the appropriate abstract results from [6] which will be useful in the proofs of our results. We define the solution space H0( x Ht0( ).
Sign-in/Register to view highlights & summary 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 callMore From: International Journal of Mathematics and Mathematical Sciences
Disclaimer: 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.
