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Log-Harnack Inequality for Stochastic Burgers Equations and Applications
stochastic Burgers equation log-Harnack inequality strong Feller property
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2010/12/14
By proving an L2-gradient estimate for the corresponding Galerkin approximations,the log-Harnack inequality is established for the semigroup associated to a class of stochastic Burgers equations. As a...
1/f noise from nonlinear stochastic differential equations
1/f noise nonlinear stochastic differential equations
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2010/4/2
We consider a class of nonlinear stochastic differential equations, giving the power-law behavior of the power spectral density in any desirably wide range of frequency. Such equations were obtained s...