Journal article

Wave Equation For A Homogeneous String With Fixed Ends Driven By A Stable Random Noise

Year:

2019

Published in:

Theory of Probability and Mathematical Statistics

Authors:

,

Wave equation for a string

wave equation

Fourier method

generalized solution

stable measure with independent increments

LePage representation

A wave equation with external forces is considered in this paper for a homogeneous string with fixed ends. The distribution of the right-hand side of the equation is symmetric α-stable. It is proved that the function constructed by the Fourier method is a generalized solution of the equation. The regularity of the trajectories is also established.

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