Stochastic Reaction-diffusion Equations Driven by Jump Processes

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Stochastic Reaction-diffusion Equations Driven by Jump Processes. / Brzeźniak, Zdzisław; Hausenblas, Erika; Razafimandimby, Paul.
In: Potential analysis, Vol. 49.2018, No. July, 21.09.2017, p. 131-201.

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Brzeźniak Z, Hausenblas E, Razafimandimby P. Stochastic Reaction-diffusion Equations Driven by Jump Processes. Potential analysis. 2017 Sept 21;49.2018(July):131-201. doi: 10.1007/s11118-017-9651-9

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@article{6ebb22d480bc480587f2f1d346947b90,
title = "Stochastic Reaction-diffusion Equations Driven by Jump Processes",
abstract = "We establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional. The drift in the equations contains a dissipative nonlinearity of polynomial growth.",
author = "Zdzis{\l}aw Brze{\'z}niak and Erika Hausenblas and Paul Razafimandimby",
year = "2017",
month = sep,
day = "21",
doi = "10.1007/s11118-017-9651-9",
language = "English",
volume = "49.2018",
pages = "131--201",
journal = "Potential analysis",
issn = "0926-2601",
publisher = "Kluwer Academic Publishers",
number = "July",

}

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TY - JOUR

T1 - Stochastic Reaction-diffusion Equations Driven by Jump Processes

AU - Brzeźniak, Zdzisław

AU - Hausenblas, Erika

AU - Razafimandimby, Paul

PY - 2017/9/21

Y1 - 2017/9/21

N2 - We establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional. The drift in the equations contains a dissipative nonlinearity of polynomial growth.

AB - We establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional. The drift in the equations contains a dissipative nonlinearity of polynomial growth.

U2 - 10.1007/s11118-017-9651-9

DO - 10.1007/s11118-017-9651-9

M3 - Article

VL - 49.2018

SP - 131

EP - 201

JO - Potential analysis

JF - Potential analysis

SN - 0926-2601

IS - July

ER -