Abstract
The aim of this paper is to study the properties of positive solutions to the nonlinear diffusion equation with a nonlinear bistable source. We show that there exists a universal, a priori upper bound for all positive solutions. Moreover, under some assumptions, we prove the convergence of these solutions to a constant if t → +∞.
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.
