Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634660 | Applied Mathematics and Computation | 2008 | 10 Pages |
Abstract
This paper deals with the Cauchy problem for the equation ut = (um)xx + b(x, t)(up)x, with m > 1, 0 < p < 1, and b(x, t) being positive. First, we establish the local existence and uniqueness results for the problem under appropriate hypotheses. Then we show that instantaneous shrinking of the support of the solution depends on the behavior of b(x, t).
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ya Tian, Chunlai Mu,