On space-time regularity for the stochastic heat equation on Lie groups

DOI10.1006/jfan.1999.3486zbMath0953.60046OpenAlexW2033416331MaRDI QIDQ1969455

Frederi G. Viens, Samy Tindel

Publication date: 31 July 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5789f72d63d38eededa13a867083c40e088a1254

zbMATH Keywords

semigroupsstochastic processeswhite noiseexistence and uniquenessirreversibilityheat equation on compact Lie groups

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) White noise theory (60H40) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Harmonic analysis on general compact groups (43A77)

Related Items (6)

Sharp asymptotics for the partition function of some continuous-time directed polymers ⋮ Superdiffusivity for a Brownian polymer in a continuous Gaussian environment ⋮ Stochastic Heat and Wave Equations on a Lie Group ⋮ Almost sure exponential behaviour for a parabolic SPDE on a manifold. ⋮ Sharp Gaussian regularity on the circle, and applications to the fractional stochastic heat equation ⋮ Stochastic PDEs on graphs as scaling limits of discrete interacting systems

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• Stochastic evolution equations with a spatially homogeneous Wiener process
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• Random Fourier Series with Applications to Harmonic Analysis. (AM-101)

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