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Elliptic equations for measures on infinite dimensional spaces and applications
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bogachev, Vladimir Röckner, Michael |
| Copyright Year | 1999 |
| Abstract | We introduce and study a new concept of a weak elliptic equation for measures on infinite dimensional spaces. This concept allows one to consider equations whose coefficients are not globally integrable. By using a suitably extended Lyapunov function technique, we derive a priori estimates for the solutions of such equations and prove new existence results. As an application, we consider stochastic Burgers, reaction-diffusion, and Navier-Stokes equations and investigate the elliptic equations for the corresponding invariant measures. Our general theorems yield a priori estimates and existence results for such elliptic equations. We also obtain moment estimates for Gibbs distributions and prove an existence result applicable to a wide class of models. AMS 1991 Subject Classification: Primary: 46G12, 35J15, 28C20 Secondary: 60H15, 82B20, 60J60, 60K35 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.mathematik.uni-bielefeld.de/sfb343/preprints/pr99142v2.ps.gz |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | ABLEPHARON-MACROSTOMIA SYNDROME Coefficient Estimated Lyapunov fractal Navier–Stokes equations Neoplasm Metastasis Solutions VHDL-AMS |
| Content Type | Text |
| Resource Type | Article |
