Periodic in distribution solution for a telegraph equation (Q1307619)
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scientific article; zbMATH DE number 1359778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic in distribution solution for a telegraph equation |
scientific article; zbMATH DE number 1359778 |
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Periodic in distribution solution for a telegraph equation (English)
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16 August 2000
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The existence and uniqueness of a solution of \[ u_{tt}(t,x)+au_t(t,x)-u_{xx}(t,x)=A(t)u(t,x)+g(x)w'{(t)}, \] \[ (t,x)\in R^1\times[0,\pi], \qquad u(t,0)=r(t,\pi)=0, \] is considered, where \(w'\) is a Hilbert space valued white noise and the solution is defined in the strong sense. Further conditions are given so that the solution is a periodic random process in distribution.
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stochastic evolution equation
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stochastic telegraph equation
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periodic in distribution solution
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0.7840480208396912
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0.7748212218284607
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