Stochastic Reaction-diffusion Equations Driven by Jump Processes

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Stochastic Reaction-diffusion Equations Driven by Jump Processes. / Hausenblas, Erika; Razafimandimby, Paul; Brzezniak, Zdzislaw.
In: Potential analysis, 2017, p. 1-17.

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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 = "Erika Hausenblas and Paul Razafimandimby and Zdzislaw Brzezniak",
year = "2017",
language = "English",
pages = "1--17",
journal = "Potential analysis",
issn = "0926-2601",
publisher = "Springer Netherlands",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Stochastic Reaction-diffusion Equations Driven by Jump Processes

AU - Hausenblas, Erika

AU - Razafimandimby, Paul

AU - Brzezniak, Zdzislaw

PY - 2017

Y1 - 2017

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.

M3 - Article

SP - 1

EP - 17

JO - Potential analysis

JF - Potential analysis

SN - 0926-2601

ER -