Small data scattering of Dirac equations with Yukawa type potentials in L2x(ℝ2)

Yonggeun Cho; Kiyeon Lee

Small data scattering of Dirac equations with Yukawa type potentials in L²_x(ℝ²)

Yonggeun Cho
, Kiyeon Lee

Department of Mathematics

Jeonbuk National University

Research output: Contribution to journal › Journal article › peer-review

3 Scopus citations

Abstract

We revisit the Cauchy problem of nonlinear massive Dirac equation with Yukawa type potentials F−1 [(b² + |ξ|²)⁻¹] in 2 dimensions. The authors of [10, 4] obtained small data scattering and large data global well-posedness in H^s for s > 0, respectively. In this paper, we show that the small data scattering occurs in L²_x(ℝ²). This can be done by combining bilinear estimates and modulation estimates of [12, 10].

Original language	English
Pages (from-to)	425-436
Number of pages	12
Journal	Differential and Integral Equations
Volume	34
Issue number	7-8
State	Published - 2021.07

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Cite this

@article{012a941051a0470591f4349b801bf180,

title = "Small data scattering of Dirac equations with Yukawa type potentials in L2x(ℝ2)",

abstract = "We revisit the Cauchy problem of nonlinear massive Dirac equation with Yukawa type potentials F−1 [(b2 + |ξ|2)−1] in 2 dimensions. The authors of [10, 4] obtained small data scattering and large data global well-posedness in Hs for s > 0, respectively. In this paper, we show that the small data scattering occurs in L2x(ℝ2). This can be done by combining bilinear estimates and modulation estimates of [12, 10].",

author = "Yonggeun Cho and Kiyeon Lee",

note = "Publisher Copyright: {\textcopyright} 2021 Differential and Integral Equations.",

year = "2021",

month = jul,

language = "English",

volume = "34",

pages = "425--436",

journal = "Differential and Integral Equations",

issn = "0893-4983",

number = "7-8",

}

TY - JOUR

T1 - Small data scattering of Dirac equations with Yukawa type potentials in L2x(ℝ2)

AU - Cho, Yonggeun

AU - Lee, Kiyeon

PY - 2021/7

Y1 - 2021/7

N2 - We revisit the Cauchy problem of nonlinear massive Dirac equation with Yukawa type potentials F−1 [(b2 + |ξ|2)−1] in 2 dimensions. The authors of [10, 4] obtained small data scattering and large data global well-posedness in Hs for s > 0, respectively. In this paper, we show that the small data scattering occurs in L2x(ℝ2). This can be done by combining bilinear estimates and modulation estimates of [12, 10].

AB - We revisit the Cauchy problem of nonlinear massive Dirac equation with Yukawa type potentials F−1 [(b2 + |ξ|2)−1] in 2 dimensions. The authors of [10, 4] obtained small data scattering and large data global well-posedness in Hs for s > 0, respectively. In this paper, we show that the small data scattering occurs in L2x(ℝ2). This can be done by combining bilinear estimates and modulation estimates of [12, 10].

UR - https://www.scopus.com/pages/publications/85108871577

M3 - Journal article

AN - SCOPUS:85108871577

SN - 0893-4983

VL - 34

SP - 425

EP - 436

JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 7-8

ER -

Small data scattering of Dirac equations with Yukawa type potentials in L²_x(ℝ²)

Abstract

Quacquarelli Symonds(QS) Subject Topics

Other files and links

Fingerprint

Cite this