Open AccessThe cubic Szegő flow at low regularity
Author(s) -
Patrick Gérard,
Herbert Koch
Publication year - 2017
Publication title -
séminaire laurent schwartz — edp et applications
Language(s) - English
Resource type - Journals
ISSN - 2266-0607
DOI - 10.5802/slsedp.105
Subject(s) - bounded mean oscillation , mathematics , mathematical analysis , flow (mathematics) , bounded function , space (punctuation) , cauchy distribution , oscillation (cell signaling) , pure mathematics , class (philosophy) , geometry , computer science , artificial intelligence , biology , genetics , operating system
We prove that the cubic Szegő equation is well posed on the space BMO+ of functions of bounded mean oscillation in the Hardy class of the disc, and we establish the Hölder regularity of this flow in the L distance. We also show that the Cauchy problem is illposed on the corresponding L∞ space.
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