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- W2050331567 abstract "We prove uniqueness of solutions of the equation u t t = Δ u + f ( u ) + g ( u ) W ̇ , u ( 0 ) = u 0 , u t ( 0 ) = v 0 on R d in the class of processes with paths in H 1 . Here ( u 0 , v 0 ) is a random variable in H 1 ⊕ L 2 , W is a spatially homogeneous Wiener process with finite spectral measure, and f , g are locally Lipschitz functions of subcritical growth." @default.
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- W2050331567 date "2007-12-01" @default.
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- W2050331567 title "Uniqueness for stochastic non-linear wave equations" @default.
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- W2050331567 doi "https://doi.org/10.1016/j.na.2006.10.012" @default.
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