Approximation and support theorem for a wave equation in two space dimensions

@inproceedings{SANZSOLE2004ApproximationAS,
  title={Approximation and support theorem for a wave equation in two space dimensions},
  author={MARTA SANZ-SOLE{\^A}},
  year={2004}
}
  • MARTA SANZ-SOLEÂ
  • Published 2004
We prove a characterization of the support of the law of the solution for a stochastic wave equation with two-dimensional space variable, driven by a noise white in time and correlated in space. The result is a consequence of an approximation theorem, in the convergence of probability, for equations obtained by smoothing the random noise. For some particular classes of coef®cients, approximation in the L -norm for p > 1 is also proved. 

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