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Existence of positive multi-peaked solutions to a nonlinear Schrödinger equation arising in nonlinear optics

✍ Scribed by Tatsuya Watanabe

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 309 KB
Volume: 62
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.04.014

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In this paper we consider the regularity of solutions to nomlinear Schrödinger equations (NLS), \[ \begin{aligned} i \hat{C}, u+\frac{1}{3} \| u & =F(u, u) . & & (t, x) \in \mathbb{R} \times \mathbb{B}^{\prime \prime}, \\ u(0) & =\phi . & & x \in \mathbb{R}^{u} . \end{aligned} \] where \(F\) is a po