Abstract
In this paper, we consider the Cauchy problem for the multidimensional generalized double dispersion equations. We prove that, for certain initial data in the unstable set, the solution with arbitrarily positive initial energy blow up in finite time. This result improves earlier ones obtained by Xu and Liu [R. Xu and Y. Liu, Global existence and nonexistence of solution for Cauchy problem of multidimensional double dispersion equations, Journal of Mathematical Analysis and Applications vol. 359, pp. 739–751, 2009.] in which the blow up result is considered under E(0) < d.
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.
