Phenomena of Blowup and Global Existence of the Solution to a Nonlinear Schrödinger Equation

Xiaowei An, Desheng Li and Xianfa Song

Abstract and Applied Analysis, 2013, vol. 2013, 1-14

Abstract:

We consider the following Cauchy problem: where and are real-valued potentials and and is even, is measurable in and continuous in , and is a complex-valued function of . We obtain some sufficient conditions and establish two sharp thresholds for the blowup and global existence of the solution to the problem.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2013/238410.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2013/238410.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:238410

DOI: 10.1155/2013/238410

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().