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The document discusses the Cauchy problem for nonlinear Schrödinger equations, presenting solutions under specific conditions for the function F. It establishes the existence, uniqueness, and continuous dependence of solutions based on initial values, as well as conditions for global existence. Theorems are provided to improve upon existing results, eliminating restrictive assumptions and demonstrating the continuity of solutions in various function spaces.

Author

Arafat Fani

Language

EN