On the derivative nonlinear Schr\'odinger equation with weakly dissipative structure
| Autor: | Li, Chunhua, Nishii, Yoshinori, Sagawa, Yuji, Sunagawa, Hideaki |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | J. Evol. Equ. 21 (2021), no. 2, 1541-1550 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00028-020-00634-6 |
| Popis: | We consider the initial value problem for cubic derivative nonlinear Schr\"odinger equation in one space dimension. Under a suitable weakly dissipative condition on the nonlinearity, we show that the small data solution has a logarithmic time decay in $L^2$. Comment: 10 pages |
| Databáze: | arXiv |
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