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Hokkaido University Preprint Series in Mathematics >
Global Existence of Small Classical Solutions to Nonlinear Schrödinger Equations
| Title: | Global Existence of Small Classical Solutions to Nonlinear Schrödinger Equations |
| Authors: | Ozawa, Tohru Browse this author | | Zhai, Jian Browse this author |
| Issue Date: | 2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 817 |
| Start Page: | 1 |
| End Page: | 15 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69625 |
| 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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