The defocusing energy-supercritical NLS in higher dimensions
| Autor: | Teng Fei Zhao |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Scattering
Applied Mathematics General Mathematics 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs 01 natural sciences Supercritical fluid Schrödinger equation 010101 applied mathematics symbols.namesake Nonlinear system Norm (mathematics) symbols 0101 mathematics Nonlinear Sciences::Pattern Formation and Solitons Nonlinear Schrödinger equation Mathematics |
| Zdroj: | Acta Mathematica Sinica, English Series. 33:911-925 |
| ISSN: | 1439-7617 1439-8516 |
| DOI: | 10.1007/s10114-017-6499-2 |
| Popis: | We consider the defocusing nonlinear Schrodinger equations iu t +Δu = |u| p u with p being an even integer in dimensions d ≥ 5. We prove that an a priori bound of critical norm implies global well-posedness and scattering for the solution. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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