The Blow-Up Phenomenon of a Class of Nonlocal Parabolic Equations Under Nonlinear Boundary Conditions

In this paper, we mainly deal with the blow-up problem of nonlocal parabolic equations with nonlinear boundary conditions. By constructing the appropriate auxiliary functions, utilizing first-order differential inequality, and establishing some appropriate assumptions, an upper bound and a lower bound on blow-up time when blow-up occurs are derived. Moreover, some examples are given to illustrate the main results.