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- Title
Profiles and Quantization of the Blow Up Mass for Critical Nonlinear Schrödinger Equation.
- Authors
Merle, Frank; Raphael, Pierre
- Abstract
We consider finite time blow up solutions to the critical nonlinear Schrödinger equationFor a suitable class of initial data in the energy spaceH1, we prove that the solution splits in two parts: the first part corresponds to the singular part and accumulates a quantized amount ofL2 mass at the blow up point, the second part corresponds to the regular part and has a strongL2 limit at blow up time.
- Subjects
SCHRODINGER equation; WAVE mechanics; PARTIAL differential equations; CAUCHY problem; MATHEMATICAL physics; PHYSICS
- Publication
Communications in Mathematical Physics, 2005, Vol 253, Issue 3, p675
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-004-1198-0