@article{Gou2023, 
author = {Zhanwei Gou and Jincheng Shi},
title = {Blow-up phenomena and global existence for nonlinear parabolic problems under nonlinear boundary conditions},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {5},
pages = {11822-11836},
keywords = {blow-up, lower bounds, higher dimensional spaces},
url = {https://www.sciopen.com/article/10.3934/math.2023598},
doi = {10.3934/math.2023598},
abstract = {In this paper, we consider an initial-boundary value parabolic problem under nonlinear Neumann boundary conditions. By virtue of the modified differential inequality, lower bounds for the blow-up time of the solution are derived in higher dimensional spaces. An upper bound for the blow-up time are specified under appropriate assumptions on the functions    a  ,  b  ,  f  ,  g  ,  h and        u    0  .}
}