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The Cauchy problem for logarithmic Schr{ö}dinger equation with a perturbation of power law nonlinearity
In this paper, we study the Cauchy problem for the nonlinear Schr{ö}dinger equation with a nonlinearity combining a logarithmic term and a local nonlinearity which has polynomial growth. Our main result is the construction of solutions in the energy space $W_1(R^d)$ in the subcritical case. We also
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