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Analytical Properties for Degenerate Equations
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Analytical Properties for Degenerate Equations
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1804.08999.pdf
Description
Submitted version
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415.78 KB
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sword-2021-05-18T15:27:03.original.xml (130 B)
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Author(s)
Colding, Tobias Holck
•
Minicozzi II, William P.
Date Issued
2020
Publisher
Springer International Publishing
Citation
Colding, Tobias Holck and Minicozzi II, William P. 2020. "Analytical Properties for Degenerate Equations." 333.
Version
Author's final manuscript
Abstract
© 2020, Springer Nature Switzerland AG. By a classical result, solutions of analytic elliptic PDEs, like the Laplace equation, are analytic. In many instances, the properties that come from being analytic are more important than analyticity itself. Many important equations are degenerate elliptic and solutions have much lower regularity. Still, one may hope that solutions share properties of analytic functions. These properties are closely connected to important open problems. In this survey, we will explain why solutions of an important degenerate elliptic equation have analytic properties even though the solutions are not even C3.
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Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
http://creativecommons.org/licenses/by-nc-sa/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/137299
DOI of Published Version
10.1007/978-3-030-34953-0_4
