Global well-posedness and scattering for the focusing nonlinear Schrödinger equation in the nonradial case
The energy-critical, focusing nonlinear Schrödinger equation in the nonradial case reads as follows: \[i\partial_t u = -\Delta u -|u|^{\frac{4}{N-2}}u,\quad (x,0)=u_0 \in H^1 (\mathbb{R}^N),\quad N\geq 3.\] Under a suitable assumption on the maximal strong solution, using a compactness argument and...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2012-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3233.pdf |