N-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs

• Main Authors: Hoang, Viet Ha., Schwab, Christoph.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/101657; http://hdl.handle.net/10220/18709
• Institution: Nanyang Technological University

We consider diffusion in a random medium modeled as diffusion equation with lognormal Gaussian diffusion coefficient. Sufficient conditions on the log permeability are provided in order for a weak solution to exist in certain Bochner–Lebesgue spaces with respect to a Gaussian measure. The stochastic...