The Wave Maps Equation and Brownian Paths
Name
220_2023_4885_ReferencePDF.pdf
Size
1.73 MB
Format
Adobe PDF
Checksum (MD5)
0d37b7cf22485e10104b19ddd2ce512d
Author(s)
Bringmann, Bjoern
Lührmann, Jonas
Staffilani, Gigliola
Date Issued
February 23, 2024
Journal
Communications in Mathematical Physics
Publisher
Springer Berlin Heidelberg
Citation
Communications in Mathematical Physics. 2024 Feb 23;405(3):60
Version
Author's final manuscript
Abstract
We discuss the ( 1 + 1 ) -dimensional wave maps equation with values in a compact Riemannian manifold . Motivated by the Gibbs measure problem, we consider Brownian paths on the manifold as initial data. Our main theorem is the probabilistic local well-posedness of the associated initial value problem. The analysis in this setting combines analytic, geometric, and probabilistic methods.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-ShareAlike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00220-023-04885-5
