Abstract
In this paper, we study blow‐up solutions to nonlinear parabolic equations under the mixed boundary conditions. In order to obtain blow‐up solutions, we introduce new conditions as follows: for some constants α and γ with α > 2, where λ0 is the first eigenvalue for the Laplace operator, , and . In fact, the condition (Cρ 1) depends on the domain and the boundary condition because of the first eigenvalue λ0. Also, we provide examples which demonstrate the main results.
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.
