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Global Well-Posedness and Instability of an Inhomogeneous Nonlinear Schrödinger Equation
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Global Well-Posedness and Instability of an Inhomogeneous Nonlinear Schrödinger Equation

T. Saanouni
Mediterranean journal of mathematics, Vol.12(2), pp.387-417
01/05/2015
DOI: https://doi.org/10.1007/s00009-014-0403-4

Abstract

Article general Mathematics Mathematics and Statistics
This paper is concerned with the Cauchy problem for an inhomogeneous nonlinear Schrödinger equation with exponential growth nonlinearity in two space dimensions. We prove global well-posedness, existence of the associated ground state and instability by blow-up.

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