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On the two-dimensional hyperbolic sine-Gordon equation Sosoe, Philippe
Description
We study the two-dimensional stochastic sine-Gordon equation (SSG) in the hyperbolic setting. In particular, by introducing a suitable time-dependent renormalization, we prove local well- posedness of SSG for any value of a parameter \beta > 0 in the nonlinearity. This is in contrast to the parabolic case studied by Hairer and Shen (2016) and Chandra-Hairer-Shen (2018), where the parameter is restricted to the subcritical range \beta^2 < 8*pi. This is joint work with Tadahiro Oh, Tristan Robert and Yuzhao Wang.
Item Metadata
Title |
On the two-dimensional hyperbolic sine-Gordon equation
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-08-08T11:09
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Description |
We study the two-dimensional stochastic sine-Gordon equation (SSG) in the
hyperbolic setting. In particular, by introducing a suitable time-dependent renormalization,
we prove local well- posedness of SSG for any value of a parameter \beta > 0 in the nonlinearity.
This is in contrast to the parabolic case studied by Hairer and Shen (2016) and Chandra-Hairer-Shen (2018), where the parameter is restricted to the subcritical range \beta^2 < 8*pi. This is joint work with Tadahiro Oh, Tristan Robert and Yuzhao Wang.
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Extent |
39.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Cornell University
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Series | |
Date Available |
2020-09-11
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0394318
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International