The main goal of this work is to study the inital boundary value problem for a higher-order parabolic equation with logarithmic source term
u_{t}+(-\Delta )^{m}u=uln (u).
We obtain blow-up at infinity of weak solutions, by employing potential well technique. This improves and extends some previous studies.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Article |
Authors | |
Publication Date | July 31, 2021 |
Submission Date | July 3, 2021 |
Acceptance Date | July 27, 2021 |
Published in Issue | Year 2021 Volume: 4 Issue: 2 |