Elliptic equations for measures on infinite dimensional spaces and applications (Q5952003)
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scientific article; zbMATH DE number 1687553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elliptic equations for measures on infinite dimensional spaces and applications |
scientific article; zbMATH DE number 1687553 |
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Elliptic equations for measures on infinite dimensional spaces and applications (English)
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2001
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A new concept of weak elliptic equations for measures on infinitely dimensional spaces is considered. Applying a suitably extended Lyapunov functions technique the authors derive a priori estimates for the solutions of such equations and prove new existence results. The results are applied to stochastic Burgers reaction-diffusion and Navier-Stokes equations. Moment estimates for Gibbs distributions and existence results for a wide class of models are also obtained.
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elliptic equations
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measures on infinitely dimensional spaces
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