On the solution process for a stochastic fractional partial differential equation driven by space-time white noise

DOI10.1016/j.spl.2011.03.012zbMath1220.60038OpenAlexW2054821705WikidataQ115341086 ScholiaQ115341086MaRDI QIDQ553032

Dong Sheng Wu

Publication date: 26 July 2011

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2011.03.012

zbMATH Keywords

Hausdorff dimensionpacking dimensionspace-time white noisehitting probabilitystochastic fractional partial differential equation

Mathematics Subject Classification ID

Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Sample path properties (60G17) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fractals (28A80)

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• Regularity of a fractional partial differential equation driven by space-time white noise
• Fractal properties of the random string processes
• Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields
• Chance and Stability

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