Stochastic Partial Differential Equations on Evolving Surfaces and Evolving Riemannian Manifolds
Analysis of PDEs
2012-08-30 v1 Differential Geometry
Abstract
We formulate stochastic partial differential equations on Riemannian manifolds, moving surfaces, general evolving Riemannian manifolds (with appropriate assumptions) and Riemannian manifolds with random metrics, in the variational setting of the analysis to stochastic partial differential equations. Considering mainly linear stochastic partial differential equations, we establish various existence and uniqueness theorems.
Cite
@article{arxiv.1208.5958,
title = {Stochastic Partial Differential Equations on Evolving Surfaces and Evolving Riemannian Manifolds},
author = {C. M. Elliott and M. Hairer and M. R. Scott},
journal= {arXiv preprint arXiv:1208.5958},
year = {2012}
}
Comments
42 pages, 1 figure