Why bootstrapping for $J$-holomorphic curves fails in $C^k$
Analysis of PDEs
2023-01-12 v1 Symplectic Geometry
Abstract
We present a simple example for the failure of the Calder\'on-Zygmund estimate for the -operator when the Sobolev -norms are replaced by the -norms. This example is discussed in the context of elliptic bootstrapping, Fredholm theory, and the regularity of -holomorphic curves.
Keywords
Cite
@article{arxiv.2207.08509,
title = {Why bootstrapping for $J$-holomorphic curves fails in $C^k$},
author = {Hansjörg Geiges and Murat Sağlam and Kai Zehmisch},
journal= {arXiv preprint arXiv:2207.08509},
year = {2023}
}
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8 pages