On the existence time of local solutions for critical semilinear Schrödinger equations in Sobolev spaces

详细信息    查看全文

• 作者：Tsukasa Iwabuchi^a ; ^{iwabuchi@sci.osaka-cu.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Makoto Nakamura^b ; ^{nakamura@sci.kj.yamagata-u.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Semilinear Schrö ; dinger equation ; Cauchy problem ; Local solution
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：33
• 期：Complete
• 页码：168-180
• 全文大小：621 K

文摘

The existence time of local solutions of semilinear Schrödinger equations in Sobolev spaces is considered based on the method of frequency decomposition. The semilinear terms are power type or exponential type, which are critical in terms of the scaling or the Trudinger–Moser inequality. The existence time is estimated by the low and high frequency parts of data.