Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs

• Main Authors: Schwab, Christoph., Hoang, Viet Ha.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Online Access: https://hdl.handle.net/10356/98276; http://hdl.handle.net/10220/17848
• Institution: Nanyang Technological University

A class of second order, elliptic PDEs in divergence form with stochastic and anisotropic conductivity coefficients and n known, separated microscopic length scales εi, i = 1, …, n in a bounded domain D ⊂ ℝd is considered. Neither stationarity nor ergodicity of these coefficients is assumed. Suffici...