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On the Nonlinear Schrödinger Equation with a Variable Damping Term

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We consider the L2-critical nonlinear Schrödinger equation with an inhomogeneous damping coefficient a(x). We prove the global existence of the solution in H1(Rd) and we give the minimal time of… Click to show full abstract

We consider the L2-critical nonlinear Schrödinger equation with an inhomogeneous damping coefficient a(x). We prove the global existence of the solution in H1(Rd) and we give the minimal time of the blow up for some initial data.

Keywords: equation variable; dinger equation; nonlinear schr; schr dinger

Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2018

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