RUS  ENG
Full version
JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 2001 Volume 46, Issue 3, Pages 427–448 (Mi tvp3894)

This article is cited in 4 papers

A Functional Central Limit Theorem for Transformed Solutions of the Multidimensional Burgers Equation with Random Initial Data

Yu. Yu. Bakhtin

M. V. Lomonosov Moscow State University

Abstract: This paper states the convergence in distribution in some functional space to the Gaussian field with explicitly calculated parameters for transformed solutions of the multidimensional Burgers equation with initial conditions given by the associated random measure. Auxiliary moment and maximal inequalities obtained in the paper are of interest in themselves.

Keywords: nonlinear diffusion, associated random variables, moment inequalities, maximal inequalities.

Received: 21.02.2000

DOI: 10.4213/tvp3894


 English version:
Theory of Probability and its Applications, 2002, 46:3, 387–405

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024