Comparison theorem and correlation for stochastic heat equations driven by Lévy space-time white noises

Min Niu;  ; Bin Xie;

doi:10.3934/dcdsb.2018296

Comparison theorem and correlation for stochastic heat equations driven by Lévy space-time white noises

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018296 ◽

2019 ◽

Vol 24 (7) ◽

pp. 2989-3009

Author(s):

Min Niu ◽

◽

Bin Xie ◽

Keyword(s):

Comparison Theorem ◽

Space Time ◽

Heat Equations ◽

Stochastic Heat Equations ◽

White Noises

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Existence and space-time regularity for stochastic heat equations on p.c.f. fractals

Electronic Journal of Probability ◽

10.1214/18-ejp148 ◽

2018 ◽

Vol 23 (0) ◽

Author(s):

Ben Hambly ◽

Weiye Yang

Keyword(s):

Space Time ◽

Heat Equations ◽

Stochastic Heat Equations

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Moment bounds of a class of stochastic heat equations driven by space–time colored noise in bounded domains

Stochastic Processes and their Applications ◽

10.1016/j.spa.2020.05.009 ◽

2020 ◽

Vol 130 (10) ◽

pp. 6246-6270

Author(s):

Ngartelbaye Guerngar ◽

Erkan Nane

Keyword(s):

Colored Noise ◽

Space Time ◽

Heat Equations ◽

Bounded Domains ◽

Stochastic Heat Equations ◽

Moment Bounds

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Parameter Estimates and Exact Variations for Stochastic Heat Equations Driven by Space-Time White Noise

Stochastic Analysis and Applications ◽

10.1080/07362990701282849 ◽

2007 ◽

Vol 25 (3) ◽

pp. 593-611 ◽

Cited By ~ 12

Author(s):

Jan Pospíšil ◽

Roger Tribe

Keyword(s):

White Noise ◽

Space Time ◽

Parameter Estimates ◽

Heat Equations ◽

Stochastic Heat Equations

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On the regularity of weak solutions to space–time fractional stochastic heat equations

Statistics & Probability Letters ◽

10.1016/j.spl.2018.04.006 ◽

2018 ◽

Vol 139 ◽

pp. 84-89 ◽

Cited By ~ 5

Author(s):

Guang-an Zou ◽

Guangying Lv ◽

Jiang-Lun Wu

Keyword(s):

Weak Solutions ◽

Space Time ◽

Heat Equations ◽

Regularity Of Weak Solutions ◽

Stochastic Heat Equations

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Stochastic heat equations with cubic nonlinearity and additive space-time noise in 2D

Conference Publications ◽

10.3934/proc.2013.2013.673 ◽

2013 ◽

Keyword(s):

Space Time ◽

Heat Equations ◽

Cubic Nonlinearity ◽

Stochastic Heat Equations

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STOCHASTIC HEAT EQUATIONS WITH RANDOM INITIAL CONDITIONS

Chinese Annals of Mathematics Series B ◽

10.1142/s0252959905000488 ◽

2005 ◽

Vol 26 (04) ◽

pp. 599-610 ◽

Cited By ~ 1

Author(s):

XICHENG ZHANG

Keyword(s):

Initial Conditions ◽

Heat Equations ◽

Random Initial Conditions ◽

Stochastic Heat Equations

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Existence and blow-up of solutions to the fractional stochastic heat equations

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-017-0103-8 ◽

2017 ◽

Vol 6 (1) ◽

pp. 73-108

Author(s):

Pavel Bezdek

Keyword(s):

Blow Up ◽

Heat Equations ◽

Stochastic Heat Equations

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Wang's Harnack inequalities for space–time white noises driven SPDEs with two reflecting walls and their applications

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.09.029 ◽

2019 ◽

Vol 469 (2) ◽

pp. 568-593 ◽

Cited By ~ 2

Author(s):

Min Niu ◽

Bin Xie

Keyword(s):

Space Time ◽

Harnack Inequalities ◽

White Noises

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Some properties of non-linear fractional stochastic heat equations on bounded domains

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2017.03.064 ◽

2017 ◽

Vol 102 ◽

pp. 86-93 ◽

Cited By ~ 1

Author(s):

Mohammud Foondun ◽

Ngartelbaye Guerngar ◽

Erkan Nane

Keyword(s):

Heat Equations ◽

Bounded Domains ◽

Non Linear ◽

Stochastic Heat Equations

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Limit theorems for time-dependent averages of nonlinear stochastic heat equations

Bernoulli ◽

10.3150/21-bej1339 ◽

2022 ◽

Vol 28 (1) ◽

Author(s):

Kunwoo Kim ◽

Jaeyun Yi

Keyword(s):

Limit Theorems ◽

Time Dependent ◽

Heat Equations ◽

Stochastic Heat Equations

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