ABSTRACT
The paper considers the blow-up solution for the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: where p>2 and is a bounded convex domain with smooth boundary . By means of constructing auxiliary functions and a first-order differential inequality technique, we obtain the upper and lower bounds on blow-up time under some appropriate assumptions. Moreover, some examples are also presented as application of our main results.
Acknowledgments
The authors are greatly indebted to the reviewer for many helpful suggestions and comments.
Disclosure statement
No potential conflict of interest was reported by the authors.