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On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient |
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| Abstract: | This paper is devoted to the Cauchy problem for the nonlinear Schrodinger equation with time‐dependent fractional damping term. We prove the local existence result, and we study the global existence and blow‐up solutions. |
| Keywords: | blow‐up damped nonlinear Schrö dinger equation global existence variable coefficients |