Localization of solutions to stochastic porous media equations: finite speed of propagation∗
نویسندگان
چکیده
It is proved that the solutions to the slow diffusion stochastic porous media equation dX−∆(|X|m−1X)dt = σ(X)dWt, 1 < m ≤ 5, inO ⊂ R, d = 1, 2, 3, have the property of finite speed of propagation of disturbances for P-a.s. ω ∈ Ω on a sufficiently small time interval (0, t(ω)).
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