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Small-data scattering for nonlinear waves of critical decay in two space dimensions
Title: | Small-data scattering for nonlinear waves of critical decay in two space dimensions |
Authors: | Karageorgis, Paschalis Browse this author | Tsutaya, Kimitoshi Browse this author |
Keywords: | Wave equation | asymptotic behavior | scattering |
Issue Date: | 2006 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 780 |
Start Page: | 1 |
End Page: | 20 |
Abstract: | Consider the nonlinear wave equation with zero mass in two space dimensions. hen it comes to the associated Cauchy problem with small initial data, the known existence esults are already sharp; those require the data to decay at a rate k ¸ kc, where kc is a critical ecay rate that depends on the order of the nonlinearity. However, the known scattering results reat only the supercritical case k > kc. In this paper, we prove the existence of the scattering perator for the full optimal range k ¸ kc. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69588 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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