Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance
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概要
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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.
- Academic Pressの論文
- 2011-05-15
Academic Press | 論文
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