Abstract
AbstractWe consider the Cauchy problem in for the wave equation with a higher derivative term. We derive sharp growth estimates of the ‐norm of the solution itself for the case of and . By imposing the weighted ‐initial velocity, we can get the lower and upper bound estimates of the solution itself. For the case of , we observe that the ‐growth behavior of the solution never occurs in the ‐framework of the initial data.
Published Version
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.
