Large time asymptotic properties of the stochastic heat equation

DOI10.1007/s10959-020-01007-yzbMath1472.60103OpenAlexW3018197527MaRDI QIDQ2042046

Arturo Kohatsu-Higa, David Nualart

Publication date: 26 July 2021

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-020-01007-y

zbMATH Keywords

asymptotic behaviorstochastic heat equationlarge times

Mathematics Subject Classification ID

Heat equation (35K05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Asymptotic properties of the parabolic equation driven by stochastic measure

Cites Work

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• Asymptotic laws of planar Brownian motion
• A limit theorem for moments in space of the increments of Brownian local time
• A central limit theorem for the stochastic wave equation with fractional noise
• Gaussian fluctuations for the stochastic heat equation with colored noise
• A central limit theorem for the stochastic heat equation
• Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions

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