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Published November 2002 | public
Journal Article

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.

Additional Information

© 2002 World Scientific Publishing Company. Received 14 March 2002. We thank Hubert Kalf for his generous help and many extremely useful comments and suggestions. The second author's research is partially supported by Humboldt Foundation Sofja Kovalevskaja Award, and the third author's research is supported by Australian Research Council.

Additional details

Created:
August 21, 2023
Modified:
March 5, 2024