Stochastic heat equations with random initial conditions

Xicheng Zhang

doi:10.1142/S0252959905000488

Stochastic heat equations with random initial conditions

Xicheng Zhang^*

^*Corresponding author for this work

Huazhong University of Science and Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper the author constructs a solution of parabolic stochastic partial differential equation with random initial conditions by Kolmogorov's criterion.

Original language	English
Pages (from-to)	599-610
Number of pages	12
Journal	Chinese Annals of Mathematics. Series B
Volume	26
Issue number	4
DOIs	https://doi.org/10.1142/S0252959905000488
Publication status	Published - 2005
Externally published	Yes

Keywords

Green's function
Kolmogorov's criterion
Stochastic partial differential equation

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10.1142/S0252959905000488

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title = "Stochastic heat equations with random initial conditions",

abstract = "In this paper the author constructs a solution of parabolic stochastic partial differential equation with random initial conditions by Kolmogorov's criterion.",

keywords = "Green's function, Kolmogorov's criterion, Stochastic partial differential equation",

author = "Xicheng Zhang",

year = "2005",

doi = "10.1142/S0252959905000488",

language = "English",

volume = "26",

pages = "599--610",

journal = "Chinese Annals of Mathematics. Series B",

issn = "0252-9599",

publisher = "Springer Verlag",

number = "4",

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TY - JOUR

T1 - Stochastic heat equations with random initial conditions

AU - Zhang, Xicheng

PY - 2005

Y1 - 2005

N2 - In this paper the author constructs a solution of parabolic stochastic partial differential equation with random initial conditions by Kolmogorov's criterion.

AB - In this paper the author constructs a solution of parabolic stochastic partial differential equation with random initial conditions by Kolmogorov's criterion.

KW - Green's function

KW - Kolmogorov's criterion

KW - Stochastic partial differential equation

UR - https://www.scopus.com/pages/publications/31544449181

U2 - 10.1142/S0252959905000488

DO - 10.1142/S0252959905000488

M3 - Article

AN - SCOPUS:31544449181

SN - 0252-9599

VL - 26

SP - 599

EP - 610

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 4

ER -

Stochastic heat equations with random initial conditions

Abstract

Keywords

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