Maximal dissipativity of the Dirichlet operator corresponding to the Burgers equation (Q2702433)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal dissipativity of the Dirichlet operator corresponding to the Burgers equation |
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7 February 2002
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Dirichlet operators
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stochastic partial differential equation
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maximal dissipativity
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Maximal dissipativity of the Dirichlet operator corresponding to the Burgers equation (English)
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In this remarkable paper it is proved that the generator \(N\) (also called Kolmogorov operator) of the stochastic Burgers equation is maximally dissipative on \(L^2(H,\nu)\), where \(H:= L^2(0,1)\) is the state space and \(\nu\) is an infinitesimally invariant probability measure of \(N\), i.e., \(N^*\nu= 0\).NEWLINENEWLINEFor the entire collection see [Zbl 0953.00048].
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