On the $L^{2}$-critical nonlinear Schrodinger equation with an inhomogeneous damping term

Mohamad Darwich

arxiv: 1703.09101 · v1 · pith:K2NKRP2Jnew · submitted 2017-03-27 · 🧮 math.AP

On the L²-critical nonlinear Schrodinger equation with an inhomogeneous damping term

Mohamad Darwich This is my paper

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keywords criticaldampingdataequationinhomogeneousinitialnonlinearschrodinger

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We consider the $L^2$-critical nonlinear Schrodinger equation with an inhomogeneous damping term. We prove that there exists an initial data such that the corresponding solution is global in $H^1(R^d)$ and we give the minimal time of the blow up for some initial data.

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On the L²-critical nonlinear Schrodinger equation with an inhomogeneous damping term

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