A Simple Proof of Unique Continuation for J-holomorphic Curves
Michael VanValkenburgh
TL;DR
This paper provides a straightforward proof of strong unique continuation for J-holomorphic curves, utilizing a simplified version of Aronszajn's theorem specific to the two-dimensional flat Laplacian.
Contribution
It offers a new, simplified proof of unique continuation for J-holomorphic curves, enhancing understanding and accessibility of this mathematical property.
Findings
Established strong unique continuation for J-holomorphic curves.
Presented a simplified proof approach based on Aronszajn's theorem.
Clarified the special case of the two-dimensional flat Laplacian.
Abstract
In this expository paper, we prove strong unique continuation for J-holomorphic curves by first giving a simple proof of Aronszajn's theorem in the special case of the two-dimensional flat Laplacian.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Meromorphic and Entire Functions