Abstract
We investigate the critical exponent of non‐global solutions to the following inhomogeneous pseudo‐parabolic equation with a space‐time forcing term: where is an integer; , , and are three constants; and . By obtaining a priori estimate for the solutions and the contradiction argument, we show that there exists a critical exponent: such that the problem does not admit any global solutions when and . Our obtained results show that the forcing term induces an interesting phenomenon of continuity/discontinuity of the critical exponent depending on the dimension . Namely, we found that when , ; when ; and when , . Furthermore, with when and when coincides with the critical exponent of the above problem with .
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.
