Weak UCP and perturbed monopole equations

Bernhelm Booss-Bavnbek; Matilde Marcolli; Bai Ling Wang

doi:10.1142/S0129167X02001551

Weak UCP and perturbed monopole equations

Bernhelm Booss-Bavnbek^*, Matilde Marcolli, Bai Ling Wang

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

We give a simple proof of weak Unique Continuation Property for perturbed Dirac operators, using the Carleman inequality. We apply the result to a class of perturbations of the Seiberg-Witten monopole equations that arise in Floer theory.

Original language	English
Pages (from-to)	987-1008
Number of pages	22
Journal	International Journal of Mathematics
Volume	13
Issue number	9
DOIs	https://doi.org/10.1142/S0129167X02001551
Publication status	Published - Nov 2002
Externally published	Yes

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title = "Weak UCP and perturbed monopole equations",

abstract = "We give a simple proof of weak Unique Continuation Property for perturbed Dirac operators, using the Carleman inequality. We apply the result to a class of perturbations of the Seiberg-Witten monopole equations that arise in Floer theory.",

keywords = "Dirac operators, Seiberg-Witten equation, Weak unique continuation",

author = "Bernhelm Booss-Bavnbek and Matilde Marcolli and Wang, {Bai Ling}",

year = "2002",

month = nov,

doi = "10.1142/S0129167X02001551",

language = "English",

volume = "13",

pages = "987--1008",

journal = "International Journal of Mathematics",

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T1 - Weak UCP and perturbed monopole equations

AU - Booss-Bavnbek, Bernhelm

AU - Marcolli, Matilde

AU - Wang, Bai Ling

PY - 2002/11

Y1 - 2002/11

N2 - We give a simple proof of weak Unique Continuation Property for perturbed Dirac operators, using the Carleman inequality. We apply the result to a class of perturbations of the Seiberg-Witten monopole equations that arise in Floer theory.

AB - We give a simple proof of weak Unique Continuation Property for perturbed Dirac operators, using the Carleman inequality. We apply the result to a class of perturbations of the Seiberg-Witten monopole equations that arise in Floer theory.

KW - Dirac operators

KW - Seiberg-Witten equation

KW - Weak unique continuation

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U2 - 10.1142/S0129167X02001551

DO - 10.1142/S0129167X02001551

M3 - Article

AN - SCOPUS:0036858982

SN - 0129-167X

VL - 13

SP - 987

EP - 1008

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 9

ER -

Weak UCP and perturbed monopole equations

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