Article ID Journal Published Year Pages File Type
4634660 Applied Mathematics and Computation 2008 10 Pages PDF
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
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