Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance

• Kagei, Yoshiyuki

  Faculty of Mathematics, Kyushu University

• Maekawa, Yasunori

  Department of Mathematics, Graduate School of Science, Kobe University

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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Journal

• MI Preprint Series

  MI Preprint Series 2009-29 2011-05-15

  Academic Press

Details

• CRID: 1050298532705588096
• NII Article ID: 120005007645
• NII Book ID: AA00252370
• HANDLE: 2324/15434
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles