科研之友
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摘要
We consider the Cauchy problem for nonlinear Schrodinger equations in a general domain Omega subset of R-N. Construction of solutions has been only done by classical compactness method in previous results. Here, we construct solutions by a simple alternative approach. More precisely, solutions are constructed by proving that approximate solutions form a Cauchy sequence in some Banach space. We discuss three different types of nonlinearities: power type nonlinearities, logarithmic nonlinearities and damping nonlinearities.
- 出版日期2018-8
