Abstract
In this paper, we consider the initial-boundary value problem of quasi-linear wave equation outside of star-shaped obstacle in three space dimensions. We study the general case that the nonlinear term may explicitly depend on the unknown function itself. By some new weighted space-time L 2 estimates of the linear wave equation for the unknown function itself, we obtained sharp lower bounds of the lifespan for the quasi-linear initial boundary value problem.
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.
