Blowup in the nonlinear Schrüdinger equation near critical dimension

Journal of Mathematical Analysis and Applications

Volumn 268, Issue 2, 2002, Pages 517-549

  Rottschäfer, Vivi ^a   Kaper, Tasso J ^a  

^a Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037091782     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2001.7814     Document Type: Article

References (21)

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3. 3 = 0 and a variational characterization of other solutions
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6. Adiabatic law for self-focusing of optical beams
7. Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension
8. On the blowing up of the solutions to the Cauchy problem for nonlinear Schrödinger equations
9. Spatial structure of focusing singularity of the nonlinear Schrödinger equation: A geometrical analysis
10. Computer simulation of wave collapses in the nonlinear Schrödinger equation
11. Rate of blowup for solutions of the nonlinear Schrödinger equation at critical dimension
12. Focusing and multi-focusing solutions of the nonlinear Schrödinger equation
13. Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
14. The focusing singularity of the cubic Schrödinger equation
15. Uniqueness of solutions of semilinear Poisson equations
16. Blowup in nonlinear Schrödinger equations. 1. A general review; 2. Similarity structure of the blowup singularity
17. The nonlinear Schrödinger Equation, Self-Focusing and Wave Collapse
18. The numerical study of blowup with application to a nonlinear Schrödinger equation
19. Collapse and Self-Focusing of Langmuir Waves