GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE QUANTUM ZAKHAROV SYSTEM IN L2

Yung Fu Fang; Kenji Nakanishi

doi:10.1090/bproc/42

GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE QUANTUM ZAKHAROV SYSTEM IN L2

Yung Fu Fang
, Kenji Nakanishi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We study the Cauchy problem for the quantum Zakharov system in the class of square-integrable functions on the Euclidean space of general dimensions. The local well-posedness is proven for dimensions up to eight, together with global existence for dimensions up to five, as well as scattering for small initial data in dimensions greater than three.

Original language	English
Pages (from-to)	21-32
Number of pages	12
Journal	Proceedings of the American Mathematical Society, Series B
Volume	6
DOIs	https://doi.org/10.1090/bproc/42
Publication status	Published - 2019

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology
Discrete Mathematics and Combinatorics

Access to Document

10.1090/bproc/42

Cite this

@article{7e57503b35b2484eb9cd084a63eb4cf0,

title = "GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE QUANTUM ZAKHAROV SYSTEM IN L2",

abstract = "We study the Cauchy problem for the quantum Zakharov system in the class of square-integrable functions on the Euclidean space of general dimensions. The local well-posedness is proven for dimensions up to eight, together with global existence for dimensions up to five, as well as scattering for small initial data in dimensions greater than three.",

author = "Fang, \{Yung Fu\} and Kenji Nakanishi",

note = "Funding Information: Received by the editors December 23, 2018. 2010 Mathematics Subject Classification. Primary 35L30; Secondary 35L05, 35Q55. Key words and phrases. quantum Zakharov system, well-posedness, global solutions, scatterng. The first author was partially supported by MOST, MRPC, and NCTS (Taiwan). The second author was supported by JSPS KAKENHI Grant Number JP17H02854. The first author is the corresponding author. Publisher Copyright: {\textcopyright} 2019, American Mathematical Society. All rights reserved.",

year = "2019",

doi = "10.1090/bproc/42",

language = "English",

volume = "6",

pages = "21--32",

journal = "Proceedings of the American Mathematical Society, Series B",

issn = "2330-1511",

publisher = "American Mathematical Society",

}

TY - JOUR

T1 - GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE QUANTUM ZAKHAROV SYSTEM IN L2

AU - Fang, Yung Fu

AU - Nakanishi, Kenji

N1 - Funding Information: Received by the editors December 23, 2018. 2010 Mathematics Subject Classification. Primary 35L30; Secondary 35L05, 35Q55. Key words and phrases. quantum Zakharov system, well-posedness, global solutions, scatterng. The first author was partially supported by MOST, MRPC, and NCTS (Taiwan). The second author was supported by JSPS KAKENHI Grant Number JP17H02854. The first author is the corresponding author. Publisher Copyright: © 2019, American Mathematical Society. All rights reserved.

PY - 2019

Y1 - 2019

N2 - We study the Cauchy problem for the quantum Zakharov system in the class of square-integrable functions on the Euclidean space of general dimensions. The local well-posedness is proven for dimensions up to eight, together with global existence for dimensions up to five, as well as scattering for small initial data in dimensions greater than three.

AB - We study the Cauchy problem for the quantum Zakharov system in the class of square-integrable functions on the Euclidean space of general dimensions. The local well-posedness is proven for dimensions up to eight, together with global existence for dimensions up to five, as well as scattering for small initial data in dimensions greater than three.

UR - https://www.scopus.com/pages/publications/85092520694

UR - https://www.scopus.com/pages/publications/85092520694#tab=citedBy

U2 - 10.1090/bproc/42

DO - 10.1090/bproc/42

M3 - Article

AN - SCOPUS:85092520694

SN - 2330-1511

VL - 6

SP - 21

EP - 32

JO - Proceedings of the American Mathematical Society, Series B

JF - Proceedings of the American Mathematical Society, Series B

ER -

GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE QUANTUM ZAKHAROV SYSTEM IN L2

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this