Semantic Scholar Open Access 2007 28 sitasi

Global existence for defocusing cubic NLS and Gross–Pitaevskii equations in three dimensional exterior domains

R. Anton

Lihat Sumber DOI

Abstrak

Abstract We prove global wellposedness in the energy space of the defocusing cubic nonlinear Schrodinger and Gross–Pitaevskii equations on the exterior of a nontrapping domain in dimension 3. The main ingredient is a Strichartz estimate obtained combining a semi-classical Strichartz estimate [R. Anton, Strichartz inequalities for Lipschitz metrics on manifolds and nonlinear Schrodinger equation on domains, arxiv: math.AP/0512639 , Bull. Soc. Math. France, submitted for publication] with a smoothing effect on exterior domains [N. Burq, P. Gerard, N. Tzvetkov, On nonlinear Schrodinger equations in exterior domains, Ann. I.H.P. (2004) 295–318].

Topik & Kata Kunci

Mathematics Physics

Penulis (1)

R. Anton

Format Sitasi

APA MLA BibTeX

Anton, R. (2007). Global existence for defocusing cubic NLS and Gross–Pitaevskii equations in three dimensional exterior domains. https://doi.org/10.1016/J.MATPUR.2007.12.006

Akses Cepat

Lihat di Sumber doi.org/10.1016/J.MATPUR.2007.12.006

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Total Sitasi: 28×
Sumber Database: Semantic Scholar
DOI: 10.1016/J.MATPUR.2007.12.006
Akses: Open Access ✓