A remark on unique continuation for the cauchy-riemann operator

Ihyeok Seo

doi:10.4134/BKMS.2015.52.5.1753

A remark on unique continuation for the cauchy-riemann operator

Ihyeok Seo

Department of Mathematics

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

1 Scopus citations

Abstract

In this note we obtain a unique continuation result for the differential inequality |ϑu| ϑ |V u|, where @ = (iϑ_y + ϑ_x)/2 denotes the Cauchy-Riemann operator and V (x, y) is a function in L²(R²).

Original language	English
Pages (from-to)	1753-1757
Number of pages	5
Journal	Bulletin of the Korean Mathematical Society
Volume	52
Issue number	5
DOIs	https://doi.org/10.4134/BKMS.2015.52.5.1753
State	Published - 2015

Keywords

Cauchy-Riemann operator
Unique continuation

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10.4134/BKMS.2015.52.5.1753

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title = "A remark on unique continuation for the cauchy-riemann operator",

abstract = "In this note we obtain a unique continuation result for the differential inequality |ϑu| ϑ |V u|, where @ = (iϑy + ϑx)/2 denotes the Cauchy-Riemann operator and V (x, y) is a function in L2(R2).",

keywords = "Cauchy-Riemann operator, Unique continuation",

author = "Ihyeok Seo",

note = "Publisher Copyright: {\textcopyright} 2015 Korean Mathematical Society.",

year = "2015",

doi = "10.4134/BKMS.2015.52.5.1753",

language = "English",

volume = "52",

pages = "1753--1757",

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T1 - A remark on unique continuation for the cauchy-riemann operator

AU - Seo, Ihyeok

PY - 2015

Y1 - 2015

N2 - In this note we obtain a unique continuation result for the differential inequality |ϑu| ϑ |V u|, where @ = (iϑy + ϑx)/2 denotes the Cauchy-Riemann operator and V (x, y) is a function in L2(R2).

AB - In this note we obtain a unique continuation result for the differential inequality |ϑu| ϑ |V u|, where @ = (iϑy + ϑx)/2 denotes the Cauchy-Riemann operator and V (x, y) is a function in L2(R2).

KW - Cauchy-Riemann operator

KW - Unique continuation

UR - https://www.scopus.com/pages/publications/84942934377

U2 - 10.4134/BKMS.2015.52.5.1753

DO - 10.4134/BKMS.2015.52.5.1753

M3 - Article

AN - SCOPUS:84942934377

SN - 1015-8634

VL - 52

SP - 1753

EP - 1757

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 5

ER -

A remark on unique continuation for the cauchy-riemann operator

Abstract

Keywords

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