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- W2020846957 abstract "Let ? be the circle [0,J] with the ends identified. We prove long-time existence for the following equation. Here, =(t,x) is 2-parameter white noise, and we assume that u 0(x) is a continuous function on ?. We show that if g(u) grows no faster than C 0(1+|u|)γ for some γ<3/2, C 0>0, then this equation has a unique solution u(t,x) valid for all times t>0." @default.
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- W2020846957 title "Long-time existence for signed solutions of the heat equation with a noise term" @default.
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- W2020846957 doi "https://doi.org/10.1007/s004400050144" @default.
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