Wave equation with a stable noise

Wave equation with a stable noise

The three-dimensional wave equation is studied in the paper. The right hand side of the equation has a symmetric α\alpha-stable distribution. Two cases are considered, namely the cases where the perturbation is a (1) “white noise” and (2) “colored noise”. It is proved for both cases that a candidate...

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Veröffentlicht in:Theory of probability and mathematical statistics 2018-10, Vol.96, p.145-157
Hauptverfasser: Pryhara, L. I., Shevchenko, G. M.
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description The three-dimensional wave equation is studied in the paper. The right hand side of the equation has a symmetric α\alpha-stable distribution. Two cases are considered, namely the cases where the perturbation is a (1) “white noise” and (2) “colored noise”. It is proved for both cases that a candidate for a solution (a function represented by the Kirchhoff formula) is a generalized solution.
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title Wave equation with a stable noise
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