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Some problems concerning the nonlinear Schrödinger equation

Candidate: 
Alessandro Selvitella
Supervisor: 
Andrea Malchiodi
Academic Year: 
2009-2010
Research Group: 
Mathematical Analysis, Modelling, and Applications
Present Position: 
Postdoc
McMaster University, USA
Publication Related to the Thesis: 

  • Selvitella Alessandro, Uniqueness and nondegeneracy of the ground state for a quasilinear Schrdinger equation with a small parameter. Nonlinear Anal. 74 (2011), no. 5, 17311737, 35J60 (35Q55 47J15 47N20)

  • Selvitella Alessandro, Semiclassical evolution of two rotating solitons for the nonlinear Schrdinger equation with electric potential. Adv. Differen- tial Equations 15 (2010), no. 3-4, 315348, 35Q55 (35C08 81Q20 81V80)

  • Selvitella Alessandro, Asymptotic evolution for the semiclassical nonlin- ear Schrdinger equation in presence of electric and magnetic fields. J. Differential Equations 245 (2008), no. 9, 25662584. (Reviewer: Rmi Car- les),35Q55 (35B40 81Q20) 

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