On Space-Time Regularity for the Stochas
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Samy Tindel; Frederi Viens
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Article
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1999
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Elsevier Science
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English
⚖ 312 KB
We consider the stochastic heat equations on Lie groups, that is, equations of the form t u=2 x u+b(u)+F(u) W 4 on R + \_G, where G is a compact Lie group, 2 is the Laplace Beltrami operator on G, b and F are Lipschitz coefficients, and where W 4 is a Gaussian space-correlated noise, which is white-