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University of Illinois at Urbana-Champaign
Singularities and multiplier algorithms for real hypersurfaces
Abstract
dc:descriptionWe consider Kohn’s method to generate subelliptic multipliers for the ∂¯-Neumann problem. For a domain defined by a real polynomial, we prove that Kohn’s algorithm is effective in terms of the degree. We then give geometric conditions under which effectiveness results in the holomorphic setting extend to the real analytic setting. We discuss related questions on the boundary geometry at Levi degenerate points.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2020
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Fassina, Martino
- Contributors dc:contributor
-
- D'Angelo, John
- Tumanov, Alexander
- Dodd, Christopher
- La Nave, Gabriele
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- Copyright 2020 Martino Fassina
- Language dc:language
- en
Identifiers
dc:identifier.*- Handle dc:identifier
- http://hdl.handle.net/2142/107886
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/107886