AN EXTREMAL REARRANGEMENT PROPERTY OF STATISTICAL SOLUTIONS OF BURGERS' EQUATION
成果类型：
Article
署名作者：
Hu, Yiming; Woyczynski, W. A.
署名单位：
University System of Ohio; Case Western Reserve University
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/aoap/1177004974
发表日期：
1994
页码：
838-858
关键词：
摘要：
We prove that a certain (centered unimodal) rearrangement of coefficients in the moving average initial input process maximizes the variance (energy density) of the limit distribution of the spatiotemporal random field solution of a nonlinear partial differential equation called Burgers' equation. Our proof is in the spirit of domination principles developed in the book by Kwapien and Woycznski.