Bayesian inverse problems in measure spaces with application to Burgers and Hamilton–Jacobi equations with white noise forcing

• Main Author: Hoang, Viet Ha.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Mathematics::Topology
• Online Access: https://hdl.handle.net/10356/100482; http://hdl.handle.net/10220/18459
• Institution: Nanyang Technological University

This paper formulates Bayesian inverse problems for inference in a topological measure space given noisy observations. Conditions for the validity of the Bayes’ formula and the well posedness of the posterior measure are studied. The abstract theory is then applied to Burgers and Hamilton–Jacobi eq...