Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613278 | Journal of Differential Equations | 2007 | 42 Pages |
Abstract
In this paper, the authors study the equation ut=div(|Du|p−2Du)+|u|q−1u−λl|Du| in RN with p>2. We first prove that for 1⩽l⩽p−1, the solution exists at least for a short time; then for , the existence and nonexistence of global (in time) solutions are studied in various situations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis