On the Blowup for the L2-Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class
نویسندگان
چکیده
We generalize recent work by J. Colliander, S. Raynor, C. Sulem, and J. D. Wright, [14], and T. Hmidi and S. Keraani, [21], on the blowup of the two-dimensional L-critical focusing NLS below the energy space, to all dimensions d ≥ 3. More precisely, we show that blowup solutions from initial data in H(R), s > s0(d) and d ≥ 3, concentrate at least the mass of the groundstate at the blowup time.
منابع مشابه
On the Blowup for the L-critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class
We consider the focusing mass-critical nonlinear Schrödinger equation and prove that blowup solutions to this equation with initial data in H(R), s > s0(d) and d ≥ 3, concentrate at least the mass of the ground state at the blowup time. This extends recent work by J. Colliander, S. Raynor, C. Sulem, and J. D. Wright, [13], T. Hmidi and S. Keraani, [21], and N. Tzirakis, [36], on the blowup of t...
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 39 شماره
صفحات -
تاریخ انتشار 2007