Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the $L^2$ critical case

preprint2014arXivOpen access

We consider the nonlinear Schrödinger equation with $L^2$ -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 $H^1(\mathbb{R})$ .

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Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the $L^2$ critical case

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Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the $L^2$ critical case