Justification of the fourier method for an inhomogeneous hyperbolic equation with random right-hand side
Tóm tắt
We consider an inhomogeneous hyperbolic equation with homogeneous initial and boundary conditions and a random right-hand side. In the case where the right-hand side of the equation is a centered sample-continuous Gaussian field, we establish conditions for the existence of a solution of the first boundary-value problem of mathematical physics in the form of a series uniformly convergent in probability.
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