Stochastic wave equation in a plane driven by spatial stable noise

The main object of this paper is the planar wave equation \[ \bigg(\frac{{\partial }^{2}}{\partial {t}^{2}}-{a}^{2}\varDelta \bigg)U(x,t)=f(x,t),\hspace{1em}t\ge 0,\hspace{2.5pt}x\in {\mathbb{R}}^{2},\] with random source f. The latter is, in certain sense, a symmetric α-stable spatial white noise m...

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Bibliographic Details
Main Authors: Larysa Pryhara, Georgiy Shevchenko
Format: Article
Language:English
Published: VTeX 2016-11-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/16-VMSTA62

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