Stabilization of the statistical solution of the parabolic equation

✍ Scribed by N. E. Ratanov; A. G. Shuhov; Yu. M. Suhov

• Publisher: Springer Netherlands
• Year: 1991
• Tongue: English
• Weight: 487 KB
• Volume: 22
• Category: Article
• ISSN: 0167-8019
• DOI: 10.1007/bf00047653

✦ Synopsis

We study the convergence of the statistical solutions of the parabolic equation. Under some mixing condition (in the sense of Rosenblatt) for initial measure and natural assumptions on the coefficients of the equation we prove weak convergence to the Gaussian distribution. Similar results for the hyperbolic equations were obtained in [1 4].