Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900273 | Journal of Mathematical Analysis and Applications | 2018 | 17 Pages |
Abstract
In this paper, we consider the initial boundary value problem for a class of thin-film equations in Rn with a p-Laplace term and a nonlocal source term |u|qâ2uâ1|Ω|â«Î©|u|qâ2udx. We prove that there exist weak solutions for the problem with arbitrarily initial energy that blow up in finite time. We also obtain the upper bounds for the blow-up time.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fenglong Sun, Lishan Liu, Yonghong Wu,