Abstract
We consider the L 2 critical inhomogeneous nonlinear Schrödinger equation in where N ⩾ 1 and 0 < b < min{2, N}. We prove that if satisfies E[u 0] < 0, then the corresponding solution blows-up in finite time. This is in sharp contrast to the classical L 2 critical nonlinear Schrödinger equation where this type of result is only known in the radial case for N ⩾ 2.
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