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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
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2019-08-08T11:09
|
| 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.
|
| 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
|
| 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
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International