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Positive solutions of Schrödinger equations and fine regularity of boundary points

✍ Scribed by Alano Ancona

Book ID: 118780570
Publisher: Springer-Verlag
Year: 2011
Tongue: French
Weight: 354 KB
Volume: 272
Category: Article
ISSN: 0025-5874
DOI: 10.1007/s00209-011-0940-5

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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