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A Modulus for the 3-Dimensional Wave Equation With Noise: Dealing With a Singular Kernel
Published online by Cambridge University Press: 20 November 2018
Abstract
We give a modulus of continuity for solutions of the wave equation with a noise term:
utt = Δu + a(u) + b(u)G, x ∈ ℝ3
where G is a Gaussian noise. This case is more difficult than in lower dimensions because the fundamental solution of the wave equation is singular.
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- Copyright © Canadian Mathematical Society 1993
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