Article ID Journal Published Year Pages File Type
7222578 Nonlinear Analysis: Theory, Methods & Applications 2018 24 Pages PDF
Abstract
We consider the Cauchy problem for nonlinear Schrödinger equations in a general domain Ω⊂RN. 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.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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