| Autor: |
Soonsik Kwon, Shuanglin Shao |
| Jazyk: |
angličtina |
| Rok vydání: |
2015 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Differential Equations, Vol 2015, Iss 51,, Pp 1-5 (2015) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
We consider the global dynamics of the defocusing generalized KdV equation $$ \partial_t u + \partial_x^3 u = \partial_x(|u|^{p-1}u). $$ We use Tao's theorem [5] that the energy moves faster than the mass to prove a moment type dispersion estimate. As an application of the dispersion estimate, we show that there is no soliton-like solutions with a certain decaying assumption. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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