WEAK UCP AND PERTURBED MONOPOLE EQUATIONS

Author:

BOOSS-BAVNBEK BERNHELM1,MARCOLLI MATILDE2,WANG BAI-LING3

Affiliation:

1. Institut for Matematik og Fysik, Roskilde University, 4000 Roskilde, Denmark

2. Max-Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany

3. Department of Pure Mathematics, University of Adelaide, Adelaide SA 5005, Australia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem;Journal of the European Mathematical Society;2018-11-20

2. Morse–Floer theory for superquadratic Dirac equations, I: relative Morse indices and compactness;Journal of Fixed Point Theory and Applications;2016-12-19

3. Existence of Dirac eigenvalues of higher multiplicity;Mathematische Zeitschrift;2016-04-15

4. Relations Between Threshold Constants for Yamabe Type Bordism Invariants;The Journal of Geometric Analysis;2015-11-23

5. The Cauchy Problems for Einstein Metrics and Parallel Spinors;Communications in Mathematical Physics;2013-04-16

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