The law of the iterated logarithm for the solution of the Burgers equation with random initial data

被引：4

作者：

Bakhtin, YY ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 1998年 / 64卷 / 5-6期

关键词：

law of the iterated logarithm; Burgers equation; shot noise; nonlinear wave;

D O I：

10.1007/BF02313027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The law of the iterated logarithm is established for the solution of the one-dimensional Burgers equation in the ease where the initial potential is described by a zero-range shot noise.

引用

页码：704 / 713

页数：10

共 50 条

[21] CAPACITY OF THE RANGE OF RANDOM WALK: THE LAW OF THE ITERATED LOGARITHM
Dembo, Amir
Okada, Izumi
ANNALS OF PROBABILITY, 2024, 52 (05): : 1954 - 1991
[22] ON THE LAW OF THE ITERATED LOGARITHM FOR ARRAYS OF RANDOM-VARIABLES
HU, TC
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1991, 20 (07) : 1989 - 1994
[23] THE LAW OF THE ITERATED LOGARITHM FOR RANDOM KOLMOGOROV, OR CHAOTIC, SEQUENCES
VOVK, VG
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1988, 32 (03) : 413 - 425
[24] On the law of the iterated logarithm for a sequence of independent random variables
Petrov, VV
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2001, 46 (03) : 542 - 544
[25] LAW OF ITERATED LOGARITHM FOR RANGE OF RANDOM-WALK
JAIN, NC
PRUITT, WE
ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (05): : 1692 - &
[26] LAW OF ITERATED LOGARITHM FOR SUBSEQUENCES OF RANDOM-VARIABLES
BERKES, I
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1974, 30 (03): : 209 - 215
[27] A CONVERSE TO THE LAW OF THE ITERATED LOGARITHM FOR A RANDOM-WALK
MARTIKAINEN, AI
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1980, 25 (02) : 361 - 362
[28] THE LAW OF THE ITERATED LOGARITHM FOR IDENTICALLY DISTRIBUTED RANDOM VARIABLES
FELLER, W
ANNALS OF MATHEMATICS, 1946, 47 (04) : 631 - 638
[29] The Law of the Iterated Logarithm for Finitely Inhomogeneous Random Walks
Aurel Spătaru
Journal of Theoretical Probability, 2010, 23 : 417 - 427
[30] On the Law of the Iterated Logarithm for Sums of Dependent Random Variables
Petrov V.V.
Journal of Mathematical Sciences, 2021, 258 (6) : 894 - 896

← 1 2 3 4 5 →