Some remarks on the nonlinear Schrödinger equation in the critical case

1989 ◽  
pp. 18-29 ◽  
Author(s):  
Thierry Cazenave ◽  
Fred B. Weissler
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Critical Case ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger

scholarly journals Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the L2-critical case

2015 ◽  
Vol 17 (03) ◽  
pp. 1450030
Author(s):  
Simão Correia
Keyword(s):  
Schrödinger Equation ◽  
Critical Exponent ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Critical Case ◽  
Nonlinear Schrodinger Equation ◽  
Energy Space ◽  
Damping Term ◽  
Nonlinear Schrödinger

We consider the nonlinear Schrödinger equation with L2-critical exponent and an inhomogeneous damping term. By using the tools developed by Merle and Raphael, we prove the existence of blowup phenomena in the energy space H1(ℝ).

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