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Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators - MaRDI portal

Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators (Q1024719)

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scientific article; zbMATH DE number 5565957
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Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators
scientific article; zbMATH DE number 5565957

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    Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators (English)
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    17 June 2009
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    A stochastic variational inequality involving a degenerate diffusion is considered, motivated by a problem of random vibrations of an elasto-plastic oscillator. Existence and uniqueness of an invariant measure for this system is established under suitable conditions and its density is characterized as the solution of a system of partial differential equations. The analysis thereof involves some non-standard Dirichlet problems.
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    stochastic variational inequality
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    degenerate diffusions
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    invariant measures
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    non-local boundary conditions
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