Blow-up of H1 solutions for the one-dimensional nonlinear Schrödinger equation with critical power nonlinearity
In: Proceedings of the American Mathematical Society, Jg. 111 (1991), Heft 2, S. 487-496
Online
academicJournal
- print, 23 ref
Zugriff:
We investigate the blow-up of solutions in H1(R) with negative energy for the one-dimensional nonlinear Schrödinger equation with critical power nonlinearity: iut=-uxx-|u|4 u, t>0, x∈R, u(0,x)=u0(x), x∈R. In our result we remove the weight condition xu0∈L2(R), which was always assumed to show the blow-up of solutions in the previous papers.
Titel: |
Blow-up of H1 solutions for the one-dimensional nonlinear Schrödinger equation with critical power nonlinearity
|
---|---|
Autor/in / Beteiligte Person: | OGAWA, T ; TSUTSUMI, Y |
Link: | |
Zeitschrift: | Proceedings of the American Mathematical Society, Jg. 111 (1991), Heft 2, S. 487-496 |
Veröffentlichung: | Providence, RI: American Mathematical Society, 1991 |
Medientyp: | academicJournal |
Umfang: | print, 23 ref |
ISSN: | 0002-9939 (print) |
Schlagwort: |
|
Sonstiges: |
|