On solving elliptic stochastic partial differential equations (Q1870966)
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scientific article; zbMATH DE number 1906418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solving elliptic stochastic partial differential equations |
scientific article; zbMATH DE number 1906418 |
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On solving elliptic stochastic partial differential equations (English)
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6 May 2003
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The paper solves elliptic boundary value problems of second-order with stochastic coefficients by using a Karhunen-Loève expansion. Estimates in the setup of Sobolev spaces are given. The paper also analyses the method of successive approximations and the perturbation method.
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Karhunen-Loève expansion
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stochastic partial differential equations
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successive approximations
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elliptic boundary value problems
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perturbation method
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