Intermittency properties in a hyperbolic Anderson problem

  title={Intermittency properties in a hyperbolic Anderson problem},
  author={Robert C. Dalang and Carl Mueller},
We study the asymptotics of the even moments of solutions to a stochastic wave equation with linear multiplicative noise. Our main theorem states that these moments grow more quickly than one might expect. This phenomenon is well-known for parabolic stochastic partial differential equations, under the name of intermittency. Our results seem to be the first example of this phenomenon for hyperbolic equations. Institut de mathématiques, Ecole Polytechnique Fédérale, Station 8, 1015 Lausanne… CONTINUE READING

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