Modulation equation for SPDEs in unbounded domains with space-time white noise -- linear theory

DOI10.1016/j.spa.2016.04.024zbMath1347.60076arXiv1507.06102OpenAlexW2344360006MaRDI QIDQ312001

Dirk Blömker, Luigi Amedeo Bianchi

Publication date: 13 September 2016

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06102

zbMATH Keywords

Gaussian processesstochastic partial differential equationsapproximationunbounded domainrandom fieldsattractivitylinearitymodulation equationamplitude equationstochastic convolution

Mathematics Subject Classification ID

Gaussian processes (60G15) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items

Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes, The high-order approximation of SPDEs with multiplicative noise via amplitude equations, Modulation equation and SPDEs on unbounded domains, Amplitude equations for SPDEs with cubic nonlinearity forced by general multiplicative Gaussian noise, The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation

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