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We consider a nonlinear Schrödinger equation with singular potential and initial data when the nonlinear term is an Lloc∞-function which does not satisfy the Lipschitz condition. To avoid non-Lipshitz nonlinearity we use the cut-off method of regularization and as a framework for existence–uniqueness theorems we employ Colombeau vector space GC1,W2,2 ([0,T),Rn), n⩽3. As an example we prove the existence–uniqueness...
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