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.
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Darwich, M. On the Nonlinear Schrödinger Equation with a Variable Damping Term. Lobachevskii J Math 39, 1327–1331 (2018). https://doi.org/10.1134/S1995080218090378
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DOI: https://doi.org/10.1134/S1995080218090378