Flow equations on spaces of rough paths

Given an Itô vector fieldM, there is a unique solutionξt(h) to the differential equationdξt(h)dt=M(ξt(h)),ξ0(h)=hfor any continuous and piece-wisely smooth pathh. We show that for anyt∈R, the maph→ξt(h) is continuous in thep-variation topology for anyp≥1, so that it uniquely extends to a solution fl...

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Những tác giả chính: Lyons, T, Qian, Z
Định dạng: Journal article
Ngôn ngữ:English
Được phát hành: 1997