Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation
نویسندگان
چکیده
منابع مشابه
On the Blowup for the L2-Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class
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.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2007
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-07-04250-x