Intermittency properties in a hyperbolic Anderson problem

@inproceedings{Dalang2008IntermittencyPI,
  title={Intermittency properties in a hyperbolic Anderson problem},
  author={Robert C. Dalang and Carl Mueller},
  year={2008}
}
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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References

Publications referenced by this paper.
Showing 1-10 of 18 references

Quenched to annealed transition in the parabolic Anderson problem

  • M. Cranston, S. Molchanov
  • Probab. Theory Related Fields
  • 2007
Highly Influential
4 Excerpts

An introduction to stochastic partial differential equations

  • J. B. Walsh
  • Ecole d’été de probabilités de Saint-Flour…
  • 1986
Highly Influential
3 Excerpts

Lyapunov exponent for the parabolic Anderson model with Lévy noise

  • M. Cranston, T. S. Mountford, T. Shiga
  • Probab. Theory Related Fields
  • 2005
1 Excerpt

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