Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591598 | Journal of Functional Analysis | 2011 | 61 Pages |
Abstract
There are wide classes of nonlinear evolution equations which possess invariant properties with respect to a scaling and translations. If a solution is invariant under the scaling then it is called a self-similar solution, which is a candidate for the asymptotic profile of general solutions at large time. In this paper we establish an abstract framework to find more precise asymptotic profiles by shifting self-similar solutions suitably.
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