### 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.

Original language | English (US) |
---|---|

Pages (from-to) | 387-405 |

Number of pages | 19 |

Journal | Theory of Probability and its Applications |

Volume | 46 |

Issue number | 3 |

DOIs | |

State | Published - 2002 |

### Fingerprint

### Keywords

- Associated random variables
- Maximal inequalities
- Moment inequalities
- Nonlinear diffusion

### ASJC Scopus subject areas

- Statistics and Probability

### Cite this

**A functional central limit theorem for transformed solutions of the multidimensional Burgers equation with random initial data.** / Bakhtin, Yuri.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - A functional central limit theorem for transformed solutions of the multidimensional Burgers equation with random initial data

AU - Bakhtin, Yuri

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - Associated random variables

KW - Maximal inequalities

KW - Moment inequalities

KW - Nonlinear diffusion

UR - http://www.scopus.com/inward/record.url?scp=0036037623&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036037623&partnerID=8YFLogxK

U2 - 10.1137/S0040585X97979068

DO - 10.1137/S0040585X97979068

M3 - Article

VL - 46

SP - 387

EP - 405

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

SN - 0040-585X

IS - 3

ER -