Global Existence of Small Classical Solutions to Nonlinear Schrödinger Equations

Ozawa, Tohru; Zhai, Jian

Hokkaido University Preprint Series in Mathematics, 2006, 817, 1-15

Permalink : https://doi.org/10.14943/83967

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アクセス権	open access
DOI	https://doi.org/10.14943/83967
URI	https://hdl.handle.net/2115/69625
タイトル	Global Existence of Small Classical Solutions to Nonlinear Schrödinger Equations
著者	著者名 Ozawa, Tohru
著者	著者名 Zhai, Jian
言語	英語
発行日	2006
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	817
ページ	1-15
抄録	We study the global Cauchy problem for nonlinear Schrödinger equations with cubic interactions of derivative type in space dimension n ¸ 3. The global existence of small classical solutions is proved in the case where every real part of the first derivatives of the interaction with respect to first derivatives of wavefunction is derived by a potential function of quadratic interaction. The proof depends on the energy estimate involving the quadratic potential and on the endpoint Strichartz estimates.
資源タイプ	紀要論文
出版タイプ	Version of Record