- Tytuł:
- Global well-posedness and scattering for the focusing nonlinear Schrödinger equation in the nonradial case
- Autorzy:
- Han, P.
- Powiązania:
- https://bibliotekanauki.pl/articles/254861.pdf
- Data publikacji:
- 2012
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
critical energy
focusing Schrodinger equation
global well-posedness
scattering - Opis:
- The energy-critical, focusing nonlinear Schrödinger equation in the nonradial case reads as follows: [formula]. Under a suitable assumption on the maximal strong solution, using a compactness argument and a virial identity, we establish the global well-posedness and scattering in the nonradial case, which gives a positive answer to one open problem proposed by Kenig and Merle [Invent. Math. 166 (2006), 645-675].
- Źródło:
-
Opuscula Mathematica; 2012, 32, 3; 487-504
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł