Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise

SIAM Journal on Numerical Analysis ◽

10.1137/100818297 ◽

2012 ◽

Vol 50 (6) ◽

pp. 2873-2896 ◽

Author(s):

Thomas Dunst ◽

Erika Hausenblas ◽

Andreas Prohl

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Euler Method ◽

Lévy Noise ◽

Partial Differential ◽

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Large deviations for locally monotone stochastic partial differential equations driven by Lévy noise

Bernoulli ◽

10.3150/17-bej947 ◽

2018 ◽

Vol 24 (4A) ◽

pp. 2842-2874 ◽

Author(s):

Jie Xiong ◽

Jianliang Zhai

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Large Deviations ◽

Stochastic Partial Differential Equations ◽

Lévy Noise ◽

Partial Differential ◽

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Explosive solutions of parabolic stochastic partial differential equations with lévy noise

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017221 ◽

2017 ◽

Vol 37 (10) ◽

pp. 5105-5125 ◽

Author(s):

Kexue Li ◽

◽

Jigen Peng ◽

Junxiong Jia

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Lévy Noise ◽

Partial Differential ◽

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On martingale solutions of stochastic partial differential equations with Lévy noise

Theory of Probability and Mathematical Statistics ◽

10.1090/tpms/1147 ◽

2021 ◽

Vol 104 ◽

pp. 89-101

Author(s):

V. Mandrekar ◽

U. V. Naik-Nimbalkar

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Lévy Noise ◽

Partial Differential ◽

Martingale Solutions

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Covariance structure of parabolic stochastic partial differential equations with multiplicative Lévy noise

Journal of Differential Equations ◽

10.1016/j.jde.2017.02.021 ◽

2017 ◽

Vol 262 (12) ◽

pp. 5896-5927 ◽

Author(s):

Kristin Kirchner ◽

Annika Lang ◽

Stig Larsson

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Covariance Structure ◽

Lévy Noise ◽

Partial Differential ◽

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Yosida approximations for multivalued stochastic partial differential equations driven by Lévy noise on a Gelfand triple

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.08.016 ◽

2014 ◽

Vol 410 (1) ◽

pp. 158-178 ◽

Author(s):

Wei Liu ◽

Matthias Stephan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Lévy Noise ◽

Partial Differential ◽

Gelfand Triple ◽

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The stampacchia maximum principle for stochastic partial differential equations forced by lévy noise

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020100 ◽

2020 ◽

Vol 19 (4) ◽

pp. 2289-2331

Author(s):

Phuong Nguyen ◽

◽

Roger Temam ◽

Keyword(s):

Partial Differential Equations ◽

Maximum Principle ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Lévy Noise ◽

Partial Differential ◽

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Stochastic Partial Differential Equations with Levy Noise

10.1017/cbo9780511721373 ◽

2007 ◽

Author(s):

S. Peszat ◽

J. Zabczyk

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Lévy Noise ◽

Partial Differential ◽

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Weak convergence of Galerkin approximations of stochastic partial differential equations driven by additive Lévy noise

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2017.03.007 ◽

2018 ◽

Vol 143 ◽

pp. 215-225 ◽

Author(s):

Andrea Barth ◽

Tobias Stüwe

Keyword(s):

Partial Differential Equations ◽

Weak Convergence ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Lévy Noise ◽

Partial Differential ◽

Galerkin Approximations ◽

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Stochastic Partial Differential Equations with Lévy Noise (a Few Aspects)

Stochastic Analysis: A Series of Lectures - Progress in Probability ◽

10.1007/978-3-0348-0909-2_12 ◽

2015 ◽

pp. 333-357 ◽

Author(s):

Szymon Peszat

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Lévy Noise ◽

Partial Differential ◽

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A white noise approach to stochastic partial differential equations driven by the fractional Lévy noise

Advances in Difference Equations ◽

10.1186/s13662-018-1861-y ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Xuebin Lü ◽

Wanyang Dai

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

White Noise ◽

Stochastic Partial Differential Equations ◽

Lévy Noise ◽

Partial Differential ◽

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