2021/11/14 by Bjoern Bringmann, Jonas Lührmann, Bringmann, Bjoern +3
Economics, Econometrics and Finance · Mathematics · #35L05 #53E99 #60L40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Biology Tumor Growth #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and financial applications #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2111.07381
openalex publication_date 2021/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the (1+1)-dimensional wave maps equation with values in a compact Riemannian manifold M. Motivated by the Gibbs measure problem, we consider Brownian paths on the manifold M 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.