The heat equation and reflected Brownian motion in time-dependent domains. II. Singularities of solutions

Krzysztof Burdzy; Zhen Qing Chen; John Sylvester

doi:10.1016/S0022-1236(03)00128-9

The heat equation and reflected Brownian motion in time-dependent domains. II. Singularities of solutions

Krzysztof Burdzy^*, Zhen Qing Chen, John Sylvester

^*此作品的通讯作者

University of Washington

科研成果: 期刊稿件 › 文章 › 同行评审

17 引用（Scopus）

摘要

We study the space-time Brownian motion and the heat equation in non-cylindrical domains. The paper is mostly devoted to singularities of the heat equation near rough points of the boundary. Two types of singularities are identified - heat atoms and heat singularities. A number of explicit geometric conditions are given for the existence of singularities. Other properties of the heat equation solutions are analyzed as well.

源语言	英语
页（从-至）	1-34
页数	34
期刊	Journal of Functional Analysis
卷	204
期	1
DOI	https://doi.org/10.1016/S0022-1236(03)00128-9
出版状态	已出版 - 20 10月 2003
已对外发布	是

访问文件

10.1016/S0022-1236(03)00128-9

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{18bd7f18d5da44e99cc9c55554e25ef3,

title = "The heat equation and reflected Brownian motion in time-dependent domains. II. Singularities of solutions",

abstract = "We study the space-time Brownian motion and the heat equation in non-cylindrical domains. The paper is mostly devoted to singularities of the heat equation near rough points of the boundary. Two types of singularities are identified - heat atoms and heat singularities. A number of explicit geometric conditions are given for the existence of singularities. Other properties of the heat equation solutions are analyzed as well.",

keywords = "Brownian motion, Heat equation, Neumann boundary conditions, Non-cylindrical domains, Parabolic equations, Space-time Brownian motion",

author = "Krzysztof Burdzy and Chen, {Zhen Qing} and John Sylvester",

year = "2003",

month = oct,

day = "20",

doi = "10.1016/S0022-1236(03)00128-9",

language = "English",

volume = "204",

pages = "1--34",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - The heat equation and reflected Brownian motion in time-dependent domains. II. Singularities of solutions

AU - Burdzy, Krzysztof

AU - Chen, Zhen Qing

AU - Sylvester, John

PY - 2003/10/20

Y1 - 2003/10/20

N2 - We study the space-time Brownian motion and the heat equation in non-cylindrical domains. The paper is mostly devoted to singularities of the heat equation near rough points of the boundary. Two types of singularities are identified - heat atoms and heat singularities. A number of explicit geometric conditions are given for the existence of singularities. Other properties of the heat equation solutions are analyzed as well.

AB - We study the space-time Brownian motion and the heat equation in non-cylindrical domains. The paper is mostly devoted to singularities of the heat equation near rough points of the boundary. Two types of singularities are identified - heat atoms and heat singularities. A number of explicit geometric conditions are given for the existence of singularities. Other properties of the heat equation solutions are analyzed as well.

KW - Brownian motion

KW - Heat equation

KW - Neumann boundary conditions

KW - Non-cylindrical domains

KW - Parabolic equations

KW - Space-time Brownian motion

UR - http://www.scopus.com/inward/record.url?scp=0142024050&partnerID=8YFLogxK

U2 - 10.1016/S0022-1236(03)00128-9

DO - 10.1016/S0022-1236(03)00128-9

M3 - Article

AN - SCOPUS:0142024050

SN - 0022-1236

VL - 204

SP - 1

EP - 34

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

The heat equation and reflected Brownian motion in time-dependent domains. II. Singularities of solutions

摘要

访问文件

其它文件与链接

指纹

引用此