Small-data scattering for nonlinear waves of critical decay in two space dimensions

Karageorgis, Paschalis; Tsutaya, Kimitoshi

Hokkaido University Preprint Series in Mathematics, 2006, 780, 1-20

Permalink : https://doi.org/10.14943/83930

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アクセス権	open access
DOI	https://doi.org/10.14943/83930
URI	https://hdl.handle.net/2115/69588
タイトル	Small-data scattering for nonlinear waves of critical decay in two space dimensions
著者	著者名 Karageorgis, Paschalis
著者	著者名 Tsutaya, Kimitoshi
言語	英語
キーワード	Wave equation
	asymptotic behavior
	scattering
発行日	2006
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	780
ページ	1-20
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record