Abstract
This paper is concerned with the Cauchy problem for the biharmonic nonlinear Schrödinger equation with L 2 -super-critical nonlinearity. By establishing the profile decomposition of bounded sequences in H 2 ( R N ) , the best constant of a Gagliardo–Nirenberg inequality is obtained. Moreover, a sufficient condition for the global existence of the solution to the biharmonic nonlinear Schrödinger equation is given.
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.
