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物理学及応用物理学専攻

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 分類論文発表
 発行年月2018/04/22
 タイトルA note on the nonlinear Schrödinger equation in a general domain
 著者Masayuki Hayashi
 ジャーナル名Nonlinear Analysis
 刊 - 号 - ページVolume 173 - Issue C - 99-122
 概要We consider the Cauchy problem for nonlinear Schrödinger equations in a general domain. 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.
 参考web https://doi.org/10.1016/j.na.2018.03.017
 指導教員小澤 徹