Abstract
The type of problem under consideration isut=Δu+f(u)inΩ×(0, T)∂u∂n+g(u)=0on∂Ω×(0, T) (*)u(x, 0)=u0(x). Here Ω is a finite domain of RN. The solution of (*) is compared with a corresponding solution of the N-ball or a finite interval whose size depends on different quantities of an associated linear elliptic problem for Ω, such as e.g. the fixed membrane problem. Possible applications include estimates for the blow-up or finite vanishing time.
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.
