Abstract
In this paper, a generalized nonlinear Kawahara equation with time and space‐dependent coefficient is considered. We show that the construction of solution with a standard fixed point method can be accomplished so that the well‐posedness in for some is proved under a specific nonpositive differential condition. We introduce an adequate weight function to define the energy and a nondegenerate condition is assumed on the fifth dispersive coefficient.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.